the 134 isometry classes of irreducible [10,5,4]_3 codes are: code no 1: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 1 0 0 0 0 2 0 0 1 1 1 0 0 0 0 0 2 the automorphism group has order 48 and is strongly generated by the following 4 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 1 1 1 1 1 , 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 , 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (3, 4)(5, 6)(7, 8), (2, 4, 3)(7, 8, 9), (1, 4, 2)(5, 6)(7, 9, 10) orbits: { 1, 2, 3, 4 }, { 5, 6 }, { 7, 8, 9, 10 } code no 2: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 1 0 0 0 0 2 0 2 1 1 1 0 0 0 0 0 2 the automorphism group has order 96 and is strongly generated by the following 5 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 1 1 1 1 1 , 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 , 2 2 0 2 0 2 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 , 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 0 0 0 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (3, 4)(5, 6)(7, 8), (2, 4, 3)(7, 8, 9), (1, 9, 7, 8)(2, 4, 3, 10), (1, 4, 8, 2)(3, 9, 10, 7)(5, 6) orbits: { 1, 8, 2, 7, 4, 3, 10, 9 }, { 5, 6 } code no 3: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 1 0 0 0 0 2 0 0 2 1 1 0 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 1 1 1 1 1 , 0 2 1 1 0 2 0 2 2 0 0 0 2 0 0 0 0 0 2 0 1 1 1 1 1 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (3, 4)(5, 6)(7, 8), (1, 10)(2, 9)(5, 6) orbits: { 1, 10 }, { 2, 9 }, { 3, 4 }, { 5, 6 }, { 7, 8 } code no 4: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 1 0 0 0 0 2 0 1 1 0 0 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 , 2 2 2 2 2 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 , 2 2 0 0 2 0 0 0 0 1 0 0 2 0 0 0 0 0 2 0 0 1 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(7, 8), (1, 6)(2, 5)(3, 4)(9, 10), (1, 10)(2, 5)(6, 9) orbits: { 1, 6, 10, 9 }, { 2, 5 }, { 3, 4 }, { 7, 8 } code no 5: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 1 0 0 0 0 2 0 2 1 0 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(7, 8) orbits: { 1 }, { 2 }, { 3, 4 }, { 5 }, { 6 }, { 7, 8 }, { 9 }, { 10 } code no 6: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 1 0 0 0 0 2 0 1 2 0 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(7, 8) orbits: { 1 }, { 2 }, { 3, 4 }, { 5 }, { 6 }, { 7, 8 }, { 9 }, { 10 } code no 7: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 1 0 0 0 0 2 0 2 2 0 0 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 , 1 0 1 1 0 0 1 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 , 2 2 0 0 1 0 0 0 0 2 1 1 0 1 0 1 1 1 0 0 0 2 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(7, 8), (1, 9)(6, 10)(7, 8), (1, 10)(2, 5)(3, 8)(4, 7)(6, 9) orbits: { 1, 9, 10, 6 }, { 2, 5 }, { 3, 4, 8, 7 } code no 8: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 1 0 0 0 0 2 0 0 2 1 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 1 2 0 2 0 2 0 0 0 2 2 0 2 0 0 0 0 0 1 0 0 0 1 0 ) acting on the columns of the generator matrix as follows (in order): (1, 10)(3, 8)(4, 5)(6, 7) orbits: { 1, 10 }, { 2 }, { 3, 8 }, { 4, 5 }, { 6, 7 }, { 9 } code no 9: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 1 0 0 0 0 2 0 2 2 1 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 1 1 1 1 1 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(5, 6)(7, 8) orbits: { 1 }, { 2 }, { 3, 4 }, { 5, 6 }, { 7, 8 }, { 9 }, { 10 } code no 10: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 1 0 0 0 0 2 0 0 2 2 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (2, 3)(8, 9) orbits: { 1 }, { 2, 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8, 9 }, { 10 } code no 11: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 1 0 0 0 0 2 0 1 2 2 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (2, 3)(8, 9) orbits: { 1 }, { 2, 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8, 9 }, { 10 } code no 12: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 1 0 0 0 0 2 0 0 2 2 2 1 0 0 0 0 2 the automorphism group has order 6 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 , 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(7, 8), (2, 4, 3)(7, 8, 9) orbits: { 1 }, { 2, 3, 4 }, { 5 }, { 6 }, { 7, 8, 9 }, { 10 } code no 13: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 0 2 1 1 0 0 0 0 0 2 the automorphism group has order 16 and is strongly generated by the following 4 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 , 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 0 1 , 0 2 0 0 0 2 0 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (3, 4)(7, 8), (3, 8)(4, 7)(9, 10), (1, 2)(3, 8)(4, 7)(5, 6) orbits: { 1, 2 }, { 3, 4, 8, 7 }, { 5, 6 }, { 9, 10 } code no 14: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 2 1 2 1 0 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 1 1 1 1 1 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (1, 2)(3, 7)(4, 8)(5, 6) orbits: { 1, 2 }, { 3, 7 }, { 4, 8 }, { 5, 6 }, { 9 }, { 10 } code no 15: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 1 2 0 0 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 , 0 2 0 0 0 2 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(7, 8), (1, 2)(3, 8)(4, 7) orbits: { 1, 2 }, { 3, 4, 8, 7 }, { 5 }, { 6 }, { 9 }, { 10 } code no 16: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 1 0 1 0 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 , 0 0 2 0 0 1 1 1 0 0 2 0 0 0 0 0 0 0 1 0 1 0 1 0 1 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(3, 7)(4, 8), (1, 3)(2, 7)(5, 10) orbits: { 1, 2, 3, 7 }, { 4, 8 }, { 5, 10 }, { 6 }, { 9 } code no 17: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 2 0 1 0 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 18: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 2 2 1 0 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 1 1 1 1 1 , 0 2 0 0 0 2 0 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(5, 6)(7, 8), (1, 2)(3, 8)(4, 7)(5, 6) orbits: { 1, 2 }, { 3, 4, 8, 7 }, { 5, 6 }, { 9 }, { 10 } code no 19: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 1 0 2 0 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 20: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 2 0 2 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(3, 7)(4, 8) orbits: { 1, 2 }, { 3, 7 }, { 4, 8 }, { 5 }, { 6 }, { 9 }, { 10 } code no 21: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 0 1 2 0 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 22: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 1 1 2 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(3, 7)(4, 8) orbits: { 1, 2 }, { 3, 7 }, { 4, 8 }, { 5 }, { 6 }, { 9 }, { 10 } code no 23: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 0 2 2 0 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 , 0 0 0 2 0 1 1 0 1 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(3, 7)(4, 8), (1, 4)(2, 8)(6, 10) orbits: { 1, 2, 4, 8 }, { 3, 7 }, { 5 }, { 6, 10 }, { 9 } code no 24: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 0 0 2 2 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 , 0 2 0 0 0 2 0 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 1 1 1 1 1 0 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 1 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(7, 8), (1, 2)(3, 8)(4, 7)(5, 6), (1, 6)(2, 5)(3, 7, 4, 8)(9, 10) orbits: { 1, 2, 6, 5 }, { 3, 4, 8, 7 }, { 9, 10 } code no 25: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 2 0 2 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(7, 8) orbits: { 1 }, { 2 }, { 3, 4 }, { 5 }, { 6 }, { 7, 8 }, { 9 }, { 10 } code no 26: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 0 0 1 2 1 0 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (3, 8)(4, 7)(5, 6), (1, 2)(5, 6)(9, 10) orbits: { 1, 2 }, { 3, 8 }, { 4, 7 }, { 5, 6 }, { 9, 10 } code no 27: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 0 0 2 2 1 0 0 0 0 0 2 the automorphism group has order 32 and is strongly generated by the following 4 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 2 0 0 0 0 1 0 2 1 0 2 2 0 2 0 0 0 0 2 0 1 1 1 1 1 , 0 1 0 0 0 0 2 2 1 0 0 0 0 2 0 2 2 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (3, 8)(4, 7)(5, 6), (2, 9)(3, 8)(5, 6), (1, 9, 10, 2)(3, 7, 8, 4) orbits: { 1, 2, 9, 10 }, { 3, 8, 4, 7 }, { 5, 6 } code no 28: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 0 2 1 0 0 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 29: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 0 1 0 1 0 1 0 0 0 0 2 the automorphism group has order 6 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 0 0 2 0 0 1 1 1 0 0 2 0 0 0 0 0 0 0 1 0 1 0 1 0 1 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6), (1, 3)(2, 7)(5, 10) orbits: { 1, 3, 8 }, { 2, 7, 4 }, { 5, 6, 10 }, { 9 } code no 30: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 0 2 1 1 0 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 2 0 0 0 0 1 0 2 1 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6), (2, 9)(3, 8) orbits: { 1 }, { 2, 9 }, { 3, 8 }, { 4, 7 }, { 5, 6 }, { 10 } code no 31: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 0 0 2 1 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6) orbits: { 1 }, { 2 }, { 3, 8 }, { 4, 7 }, { 5, 6 }, { 9 }, { 10 } code no 32: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 0 1 2 1 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6) orbits: { 1 }, { 2 }, { 3, 8 }, { 4, 7 }, { 5, 6 }, { 9 }, { 10 } code no 33: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 0 1 0 2 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 2 0 2 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (1, 8)(6, 10)(7, 9) orbits: { 1, 8 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6, 10 }, { 7, 9 } code no 34: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 0 1 2 2 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 1 0 2 1 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (2, 9)(3, 8) orbits: { 1 }, { 2, 9 }, { 3, 8 }, { 4 }, { 5 }, { 6 }, { 7 }, { 10 } code no 35: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 0 0 2 2 2 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 2 0 0 0 0 1 0 2 1 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6), (2, 9)(3, 8) orbits: { 1 }, { 2, 9 }, { 3, 8 }, { 4, 7 }, { 5, 6 }, { 10 } code no 36: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 2 1 0 0 0 0 2 0 1 2 2 1 0 0 0 0 0 2 the automorphism group has order 32 and is strongly generated by the following 5 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 1 0 0 0 0 0 1 0 0 0 2 2 2 0 0 2 2 0 2 0 1 1 1 1 1 , 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 , 1 2 2 1 0 2 1 2 1 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (3, 8)(4, 7)(5, 6), (3, 7)(4, 8)(5, 6)(9, 10), (1, 2)(3, 7)(4, 8), (1, 10)(2, 9)(4, 7) orbits: { 1, 2, 10, 9 }, { 3, 8, 7, 4 }, { 5, 6 } code no 37: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 2 1 0 0 0 0 2 0 2 1 0 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(3, 7)(4, 8) orbits: { 1, 2 }, { 3, 7 }, { 4, 8 }, { 5 }, { 6 }, { 9 }, { 10 } code no 38: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 2 1 0 0 0 0 2 0 1 0 1 0 1 0 0 0 0 2 the automorphism group has order 36 and is strongly generated by the following 4 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 1 0 0 0 0 2 0 2 0 2 2 2 0 2 0 0 0 0 0 1 0 0 0 1 0 , 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 , 1 1 0 1 0 0 0 0 2 0 2 0 0 0 0 2 2 2 0 0 1 0 1 0 1 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6), (2, 10)(3, 8)(4, 5)(6, 7), (1, 2)(3, 7)(4, 8), (1, 3, 8)(2, 7, 4)(5, 6, 10) orbits: { 1, 2, 8, 10, 4, 3, 6, 7, 5 }, { 9 } code no 39: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 2 1 0 0 0 0 2 0 2 1 1 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6) orbits: { 1 }, { 2 }, { 3, 8 }, { 4, 7 }, { 5, 6 }, { 9 }, { 10 } code no 40: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 2 1 0 0 0 0 2 0 2 2 1 0 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 , 1 1 1 1 1 0 0 0 0 2 2 2 0 2 0 2 2 2 0 0 1 0 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6), (1, 2)(3, 7)(4, 8), (1, 5, 2, 6)(3, 7, 4, 8)(9, 10) orbits: { 1, 2, 6, 5 }, { 3, 8, 7, 4 }, { 9, 10 } code no 41: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 2 1 0 0 0 0 2 0 1 0 2 0 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 42: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 2 1 0 0 0 0 2 0 0 1 2 0 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 43: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 2 1 0 0 0 0 2 0 1 0 2 2 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6), (1, 2)(3, 7)(4, 8) orbits: { 1, 2 }, { 3, 8, 7, 4 }, { 5, 6 }, { 9 }, { 10 } code no 44: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 2 1 0 0 0 0 2 0 2 0 2 2 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 2 0 2 2 1 2 1 2 1 0 2 2 2 2 2 2 2 2 0 0 1 1 0 1 0 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6), (1, 10)(2, 9)(3, 6)(4, 7)(5, 8) orbits: { 1, 10 }, { 2, 9 }, { 3, 8, 6, 5 }, { 4, 7 } code no 45: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 0 1 2 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 2 0 0 2 0 2 1 0 2 0 0 0 0 2 0 0 0 1 0 0 0 2 0 0 ) acting on the columns of the generator matrix as follows (in order): (1, 9)(2, 10)(3, 5)(6, 8) orbits: { 1, 9 }, { 2, 10 }, { 3, 5 }, { 4 }, { 6, 8 }, { 7 } code no 46: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 2 0 1 1 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 , 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6)(9, 10), (3, 4)(7, 8), (1, 2)(3, 7)(4, 8) orbits: { 1, 2 }, { 3, 4, 7, 8 }, { 5, 6 }, { 9, 10 } code no 47: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 0 2 1 1 1 0 0 0 0 2 the automorphism group has order 32 and is strongly generated by the following 5 elements: ( 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 1 1 1 , 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 , 2 0 0 0 0 0 2 0 0 0 1 1 1 0 0 1 1 0 1 0 2 1 0 0 1 , 2 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 2 0 0 2 2 2 2 0 0 , 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (5, 10)(6, 9), (3, 4)(7, 8), (3, 7)(4, 8)(5, 9)(6, 10), (3, 9, 4, 6)(5, 8, 10, 7), (1, 2)(3, 7)(4, 8) orbits: { 1, 2 }, { 3, 4, 7, 6, 8, 9, 10, 5 } code no 48: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 1 0 2 1 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 49: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 2 0 2 1 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 50: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 2 1 2 1 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 1 1 0 1 0 2 1 0 0 1 , 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (4, 8)(5, 9)(6, 10), (1, 2)(3, 7)(4, 8) orbits: { 1, 2 }, { 3, 7 }, { 4, 8 }, { 5, 9 }, { 6, 10 } code no 51: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 1 2 2 1 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(3, 7)(4, 8) orbits: { 1, 2 }, { 3, 7 }, { 4, 8 }, { 5 }, { 6 }, { 9 }, { 10 } code no 52: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 1 0 2 2 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 1 0 0 1 , 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 , 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (5, 9)(6, 10), (3, 4)(7, 8), (1, 2)(3, 7)(4, 8) orbits: { 1, 2 }, { 3, 4, 7, 8 }, { 5, 9 }, { 6, 10 } code no 53: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 2 0 2 2 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 , 1 1 1 1 1 0 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 1 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(7, 8), (1, 6)(2, 5)(3, 7, 4, 8)(9, 10) orbits: { 1, 6 }, { 2, 5 }, { 3, 4, 8, 7 }, { 9, 10 } code no 54: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 2 1 2 2 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 , 1 1 1 1 1 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (3, 4)(7, 8), (1, 6)(2, 5)(7, 8)(9, 10) orbits: { 1, 6 }, { 2, 5 }, { 3, 4 }, { 7, 8 }, { 9, 10 } code no 55: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 0 1 0 0 0 2 0 1 0 0 1 1 0 0 0 0 2 the automorphism group has order 720 and is strongly generated by the following 7 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 2 0 2 0 2 0 2 0 2 , 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 1 1 1 0 0 1 1 0 1 0 2 2 2 2 2 , 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 , 2 2 2 2 2 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 , 2 0 2 0 2 1 1 1 1 1 1 0 0 0 0 0 0 0 2 0 0 0 1 0 0 , 1 0 0 1 1 0 0 1 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (4, 8)(5, 9)(6, 10), (3, 8)(4, 7)(5, 6), (3, 7)(4, 8)(5, 6)(9, 10), (2, 3)(4, 5)(8, 9), (1, 6)(2, 5)(3, 4), (1, 3, 5, 9)(2, 8, 7, 6), (1, 9, 7, 6, 8, 10)(2, 4, 3) orbits: { 1, 6, 9, 10, 5, 7, 8, 4, 2, 3 } code no 56: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 0 1 0 0 0 2 0 2 0 0 1 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 2 elements: ( 1 0 0 0 0 0 1 0 0 0 2 2 0 2 0 2 2 2 0 0 1 1 1 1 1 , 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6), (2, 3)(4, 5)(8, 9) orbits: { 1 }, { 2, 3, 8, 9 }, { 4, 7, 5, 6 }, { 10 } code no 57: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 1 0 1 0 0 0 2 0 0 1 2 2 1 0 0 0 0 2 the automorphism group has order 72 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 2 2 0 2 0 2 2 2 0 0 1 1 1 1 1 , 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 , 2 0 2 0 2 1 1 1 1 1 1 0 0 0 0 0 0 0 2 0 0 0 1 0 0 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6), (2, 3)(4, 5)(8, 9), (1, 3, 5, 9)(2, 8, 7, 6) orbits: { 1, 9, 8, 5, 3, 2, 6, 4, 7 }, { 10 } code no 58: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 0 1 0 0 0 2 0 0 2 1 0 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 0 1 2 0 2 1 0 2 0 2 0 0 0 0 2 0 0 0 1 0 0 0 2 0 0 , 1 0 2 0 2 0 1 2 0 2 0 0 0 0 2 0 0 0 1 0 0 0 2 0 0 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6), (1, 10)(2, 9)(3, 5)(6, 8), (1, 9)(2, 10)(3, 5)(6, 8) orbits: { 1, 10, 9, 2 }, { 3, 8, 5, 6 }, { 4, 7 } code no 59: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 0 1 0 0 0 1 0 0 0 0 2 2 2 0 0 2 2 0 2 0 1 1 1 1 1 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(5, 6), (1, 2)(3, 7)(4, 8)(5, 6)(9, 10) orbits: { 1, 2 }, { 3, 8, 7, 4 }, { 5, 6 }, { 9, 10 } code no 60: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 0 1 0 0 0 2 0 1 0 2 1 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 61: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 0 1 0 0 0 2 0 0 2 2 1 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 2 0 1 0 1 1 1 0 1 0 0 0 0 0 2 0 0 0 2 0 ) acting on the columns of the generator matrix as follows (in order): (2, 9)(3, 8)(4, 5)(6, 7) orbits: { 1 }, { 2, 9 }, { 3, 8 }, { 4, 5 }, { 6, 7 }, { 10 } code no 62: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 2 0 1 0 1 0 0 0 2 0 1 2 2 1 1 0 0 0 0 2 the automorphism group has order 10 and is strongly generated by the following 2 elements: ( 1 0 0 0 0 2 0 1 0 1 1 1 0 1 0 0 0 0 0 2 0 0 0 2 0 , 1 1 1 1 1 2 1 1 2 2 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 ) acting on the columns of the generator matrix as follows (in order): (2, 9)(3, 8)(4, 5)(6, 7), (1, 7, 3, 8, 6)(2, 4, 5, 9, 10) orbits: { 1, 6, 7, 8, 3 }, { 2, 9, 10, 5, 4 } code no 63: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 0 1 0 0 0 2 0 0 1 2 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(9, 10) orbits: { 1, 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9, 10 } code no 64: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 0 1 0 0 0 2 0 2 1 2 0 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 1 0 2 0 1 1 2 1 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 , 2 1 2 0 1 2 0 1 0 2 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (1, 9)(2, 10), (1, 10)(2, 9)(3, 7)(4, 8) orbits: { 1, 9, 10, 2 }, { 3, 7 }, { 4, 8 }, { 5 }, { 6 } code no 65: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 0 1 0 0 0 2 0 2 0 2 1 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 1 1 1 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 1 0 1 0 1 2 2 , 0 0 1 0 0 2 2 2 0 0 1 0 0 0 0 1 1 0 1 0 1 0 2 0 1 ) acting on the columns of the generator matrix as follows (in order): (1, 7)(2, 3)(5, 10)(6, 9), (1, 3)(2, 7)(4, 8)(5, 9)(6, 10) orbits: { 1, 7, 3, 2 }, { 4, 8 }, { 5, 10, 9, 6 } code no 66: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 0 1 0 0 0 2 0 0 2 2 1 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 0 1 0 0 0 2 2 2 0 0 2 2 0 2 0 1 1 1 1 1 ) acting on the columns of the generator matrix as follows (in order): (3, 7)(4, 8)(5, 6)(9, 10) orbits: { 1 }, { 2 }, { 3, 7 }, { 4, 8 }, { 5, 6 }, { 9, 10 } code no 67: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(3, 4)(7, 8)(9, 10) orbits: { 1, 2 }, { 3, 4 }, { 5 }, { 6 }, { 7, 8 }, { 9, 10 } code no 68: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 0 1 0 0 0 2 0 1 0 1 2 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 0 0 0 0 2 1 1 1 1 1 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 , 2 2 2 2 2 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (1, 5)(2, 6)(7, 8), (1, 6)(2, 5)(3, 4)(9, 10) orbits: { 1, 5, 6, 2 }, { 3, 4 }, { 7, 8 }, { 9, 10 } code no 69: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 0 1 0 0 0 2 0 0 1 2 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 0 0 0 2 1 1 1 1 1 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (1, 5)(2, 6)(7, 8) orbits: { 1, 5 }, { 2, 6 }, { 3 }, { 4 }, { 7, 8 }, { 9 }, { 10 } code no 70: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 1 1 0 1 0 0 0 2 0 0 1 0 2 2 1 0 0 0 2 0 0 1 2 2 1 0 0 0 0 2 the automorphism group has order 32 and is strongly generated by the following 4 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 1 1 0 1 0 1 1 1 0 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 , 0 0 0 0 1 2 2 2 2 2 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (5, 6)(9, 10), (3, 8)(4, 7)(5, 6), (3, 4)(7, 8), (1, 5)(2, 6)(3, 4) orbits: { 1, 5, 6, 2 }, { 3, 8, 4, 7 }, { 9, 10 } code no 71: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 0 2 2 1 0 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 2 2 2 2 2 , 0 1 1 2 0 0 0 2 0 0 0 2 0 0 0 2 2 2 0 0 1 1 1 1 1 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (2, 3)(5, 6)(8, 9), (1, 10)(2, 3)(4, 7)(5, 6) orbits: { 1, 10 }, { 2, 3 }, { 4, 7 }, { 5, 6 }, { 8, 9 } code no 72: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 1 2 2 1 0 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (2, 3)(5, 6)(8, 9) orbits: { 1 }, { 2, 3 }, { 4 }, { 5, 6 }, { 7 }, { 8, 9 }, { 10 } code no 73: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 2 2 0 0 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 74: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 1 2 1 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 2 0 2 0 0 0 0 2 0 1 0 2 2 0 0 2 0 0 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (1, 8)(2, 4)(3, 9)(6, 10) orbits: { 1, 8 }, { 2, 4 }, { 3, 9 }, { 5 }, { 6, 10 }, { 7 } code no 75: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 2 2 1 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 2 2 0 1 2 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (1, 9)(2, 8)(3, 4)(6, 10) orbits: { 1, 9 }, { 2, 8 }, { 3, 4 }, { 5 }, { 6, 10 }, { 7 } code no 76: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 0 2 2 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (2, 3)(8, 9) orbits: { 1 }, { 2, 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8, 9 }, { 10 } code no 77: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 1 2 2 0 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 , 0 0 0 2 0 1 2 0 2 0 1 0 2 2 0 2 0 0 0 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (2, 3)(8, 9), (1, 4)(2, 8)(3, 9)(6, 10) orbits: { 1, 4 }, { 2, 3, 8, 9 }, { 5 }, { 6, 10 }, { 7 } code no 78: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 1 0 0 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (2, 3)(8, 9) orbits: { 1 }, { 2, 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8, 9 }, { 10 } code no 79: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 2 0 0 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (2, 3)(8, 9) orbits: { 1 }, { 2, 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8, 9 }, { 10 } code no 80: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 81: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 2 1 0 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (2, 3)(5, 6)(8, 9) orbits: { 1 }, { 2, 3 }, { 4 }, { 5, 6 }, { 7 }, { 8, 9 }, { 10 } code no 82: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 0 2 2 0 2 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 83: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 2 1 0 0 0 0 2 0 0 1 2 1 0 0 0 0 0 2 the automorphism group has order 16 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 1 0 1 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 2 , 0 1 0 0 0 0 0 1 0 0 2 0 2 1 0 0 1 2 1 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (2, 9)(4, 7), (1, 9, 3, 2)(4, 8, 7, 10) orbits: { 1, 2, 9, 3 }, { 4, 7, 10, 8 }, { 5, 6 } code no 84: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 2 1 0 0 0 0 2 0 0 2 1 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 2 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 2 0 2 ) acting on the columns of the generator matrix as follows (in order): (1, 9)(5, 10)(7, 8) orbits: { 1, 9 }, { 2 }, { 3 }, { 4 }, { 5, 10 }, { 6 }, { 7, 8 } code no 85: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 2 1 0 0 0 0 2 0 1 0 2 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 1 0 1 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (2, 9)(4, 7) orbits: { 1 }, { 2, 9 }, { 3 }, { 4, 7 }, { 5 }, { 6 }, { 8 }, { 10 } code no 86: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 2 1 0 0 0 0 2 0 1 2 2 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 2 0 2 1 0 1 2 0 2 0 0 0 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (2, 9)(3, 8) orbits: { 1 }, { 2, 9 }, { 3, 8 }, { 4 }, { 5 }, { 6 }, { 7 }, { 10 } code no 87: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 2 1 0 0 0 0 2 0 0 2 2 2 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 2 0 0 0 2 1 0 1 0 1 1 1 0 0 0 0 0 0 1 , 1 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 2 1 , 2 0 0 0 0 1 0 1 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7), (3, 4)(5, 10)(7, 8), (2, 9)(4, 7) orbits: { 1 }, { 2, 9 }, { 3, 8, 4, 7 }, { 5, 10 }, { 6 } code no 88: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 1 2 1 0 0 0 0 2 0 2 2 0 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 2 0 2 0 0 2 1 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (1, 8)(2, 9)(3, 4)(6, 10) orbits: { 1, 8 }, { 2, 9 }, { 3, 4 }, { 5 }, { 6, 10 }, { 7 } code no 89: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 1 2 1 0 0 0 0 2 0 2 0 0 2 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 90: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 1 2 1 0 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (1, 3)(8, 9) orbits: { 1, 3 }, { 2 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8, 9 }, { 10 } code no 91: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 1 2 1 0 0 0 0 2 0 2 0 2 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (1, 3)(8, 9) orbits: { 1, 3 }, { 2 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8, 9 }, { 10 } code no 92: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 2 1 0 0 0 0 2 0 1 0 2 0 1 0 0 0 0 2 the automorphism group has order 6 and is strongly generated by the following 2 elements: ( 0 1 1 2 0 0 0 2 0 0 0 2 0 0 0 2 2 2 0 0 1 1 1 1 1 , 0 0 1 0 0 2 2 2 0 0 1 0 0 0 0 0 2 2 1 0 1 0 2 0 1 ) acting on the columns of the generator matrix as follows (in order): (1, 9)(2, 3)(4, 7)(5, 6), (1, 3)(2, 7)(4, 9)(5, 10) orbits: { 1, 9, 3, 4, 2, 7 }, { 5, 6, 10 }, { 8 } code no 93: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 2 1 0 0 0 0 2 0 2 1 2 0 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 0 0 0 2 0 0 2 2 1 0 0 2 0 0 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (2, 4)(3, 9)(6, 10) orbits: { 1 }, { 2, 4 }, { 3, 9 }, { 5 }, { 6, 10 }, { 7 }, { 8 } code no 94: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 2 1 0 0 0 0 2 0 0 2 2 0 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 0 2 2 0 1 0 0 0 0 2 0 2 2 1 0 0 0 2 0 0 , 0 1 1 2 0 0 0 2 0 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (2, 10)(3, 5)(4, 9)(6, 8), (1, 9)(2, 3)(4, 7) orbits: { 1, 9, 4, 7 }, { 2, 10, 3, 5 }, { 6, 8 } code no 95: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 2 0 1 1 1 0 0 0 0 2 the automorphism group has order 12 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 , 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 2 2 2 2 1 0 1 0 ) acting on the columns of the generator matrix as follows (in order): (5, 6)(9, 10), (4, 5)(8, 9), (1, 2)(4, 9, 6, 8, 5, 10) orbits: { 1, 2 }, { 3 }, { 4, 5, 10, 6, 8, 9 }, { 7 } code no 96: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 2 2 1 1 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 2 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 , 1 0 0 0 0 0 2 0 0 0 2 1 0 0 1 2 2 2 2 2 1 1 1 0 0 ) acting on the columns of the generator matrix as follows (in order): (4, 5)(8, 9), (3, 9)(4, 6)(5, 7)(8, 10) orbits: { 1 }, { 2 }, { 3, 9, 8, 10 }, { 4, 5, 6, 7 } code no 97: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 0 0 2 1 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 , 2 0 0 0 0 0 2 0 0 0 1 1 1 0 0 0 0 0 2 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (4, 5)(8, 9), (3, 7)(6, 10) orbits: { 1 }, { 2 }, { 3, 7 }, { 4, 5 }, { 6, 10 }, { 8, 9 } code no 98: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 2 0 2 1 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 ) acting on the columns of the generator matrix as follows (in order): (4, 5)(8, 9) orbits: { 1 }, { 2 }, { 3 }, { 4, 5 }, { 6 }, { 7 }, { 8, 9 }, { 10 } code no 99: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 0 2 2 1 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 ) acting on the columns of the generator matrix as follows (in order): (4, 5)(8, 9) orbits: { 1 }, { 2 }, { 3 }, { 4, 5 }, { 6 }, { 7 }, { 8, 9 }, { 10 } code no 100: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 1 2 2 1 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 , 0 2 0 0 0 2 0 0 0 0 1 1 1 0 0 1 2 0 0 2 1 2 0 2 0 ) acting on the columns of the generator matrix as follows (in order): (4, 5)(8, 9), (1, 2)(3, 7)(4, 9)(5, 8)(6, 10) orbits: { 1, 2 }, { 3, 7 }, { 4, 5, 9, 8 }, { 6, 10 } code no 101: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 1 0 0 2 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 102: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 the automorphism group has order 3 and is strongly generated by the following 1 elements: ( 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 2 1 0 0 1 0 1 0 2 1 ) acting on the columns of the generator matrix as follows (in order): (1, 10, 5)(2, 9, 4)(3, 6, 7) orbits: { 1, 5, 10 }, { 2, 4, 9 }, { 3, 7, 6 }, { 8 } code no 103: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 1 0 1 2 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 104: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 2 1 1 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 1 0 0 0 0 0 2 0 2 1 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (3, 7)(5, 9)(6, 10) orbits: { 1 }, { 2 }, { 3, 7 }, { 4 }, { 5, 9 }, { 6, 10 }, { 8 } code no 105: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 2 2 1 2 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 106: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 2 2 0 1 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 0 2 0 0 0 2 1 0 1 0 1 1 1 0 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(9, 10) orbits: { 1 }, { 2 }, { 3, 8 }, { 4, 7 }, { 5 }, { 6 }, { 9, 10 } code no 107: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 1 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 108: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 2 0 2 1 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 0 2 0 0 0 1 1 1 0 0 2 1 0 1 0 1 0 1 2 2 ) acting on the columns of the generator matrix as follows (in order): (3, 7)(4, 8)(5, 10)(6, 9) orbits: { 1 }, { 2 }, { 3, 7 }, { 4, 8 }, { 5, 10 }, { 6, 9 } code no 109: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 2 1 2 1 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 110: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 1 0 0 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 2 0 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (1, 8)(2, 4)(3, 6)(7, 9) orbits: { 1, 8 }, { 2, 4 }, { 3, 6 }, { 5 }, { 7, 9 }, { 10 } code no 111: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 1 0 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 2 0 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (1, 8)(2, 4)(3, 6)(7, 9) orbits: { 1, 8 }, { 2, 4 }, { 3, 6 }, { 5 }, { 7, 9 }, { 10 } code no 112: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 2 1 0 0 0 0 2 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 } code no 113: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 1 2 2 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 2 0 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (1, 8)(2, 4)(3, 6)(7, 9) orbits: { 1, 8 }, { 2, 4 }, { 3, 6 }, { 5 }, { 7, 9 }, { 10 } code no 114: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 1 2 1 0 1 0 0 0 2 0 0 2 0 1 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 1 0 0 0 0 0 2 0 0 0 2 1 0 1 0 1 1 1 0 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6)(9, 10), (3, 8)(4, 7)(5, 6) orbits: { 1 }, { 2 }, { 3, 8 }, { 4, 7 }, { 5, 6 }, { 9, 10 } code no 115: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 1 2 1 0 1 0 0 0 2 0 0 2 2 1 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 0 1 1 1 0 0 0 0 2 0 0 1 1 1 1 1 2 1 2 0 2 ) acting on the columns of the generator matrix as follows (in order): (2, 7)(4, 6)(5, 9)(8, 10) orbits: { 1 }, { 2, 7 }, { 3 }, { 4, 6 }, { 5, 9 }, { 8, 10 } code no 116: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 0 2 0 1 0 0 0 2 0 2 1 0 2 1 0 0 0 0 2 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 0 1 0 0 2 0 2 0 1 1 0 0 0 0 2 2 2 2 2 1 1 1 0 0 ) acting on the columns of the generator matrix as follows (in order): (1, 3)(2, 9)(4, 6)(5, 7) orbits: { 1, 3 }, { 2, 9 }, { 4, 6 }, { 5, 7 }, { 8 }, { 10 } code no 117: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 0 1 2 0 1 0 0 0 2 0 1 1 0 2 1 0 0 0 0 2 the automorphism group has order 16 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 2 0 0 0 2 1 0 1 0 1 1 1 0 0 0 0 0 0 1 , 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 2 1 0 2 1 2 0 2 0 , 2 2 2 0 0 2 2 2 2 2 0 1 2 0 1 0 0 0 0 1 2 2 0 1 2 ) acting on the columns of the generator matrix as follows (in order): (3, 8)(4, 7)(9, 10), (1, 3)(4, 9)(5, 8), (1, 9, 3, 10, 5, 4, 8, 7)(2, 6) orbits: { 1, 3, 7, 8, 9, 4, 5, 10 }, { 2, 6 } code no 118: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 1 1 2 0 1 0 0 0 2 0 2 0 1 2 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 1 0 1 0 0 0 0 0 2 , 2 0 0 0 0 0 2 0 0 0 1 1 1 0 0 0 0 0 2 0 2 2 1 0 2 , 1 0 0 0 0 0 2 0 0 0 0 0 0 2 0 1 1 1 0 0 1 0 2 1 2 ) acting on the columns of the generator matrix as follows (in order): (4, 8)(6, 10), (3, 7)(5, 9), (3, 8, 7, 4)(5, 6, 9, 10) orbits: { 1 }, { 2 }, { 3, 7, 4, 8 }, { 5, 9, 10, 6 } code no 119: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 2 0 1 0 0 0 2 0 2 0 0 2 1 0 0 0 0 2 the automorphism group has order 5 and is strongly generated by the following 1 elements: ( 0 0 0 0 1 0 0 0 2 0 1 0 0 1 2 2 2 2 0 0 0 1 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (1, 7, 4, 2, 5)(3, 6, 8, 9, 10) orbits: { 1, 5, 2, 4, 7 }, { 3, 10, 9, 8, 6 } code no 120: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 2 0 1 0 0 0 2 0 0 2 0 2 1 0 0 0 0 2 0 0 2 2 1 0 0 0 0 0 2 the automorphism group has order 12 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 2 2 2 2 2 , 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (2, 3)(5, 6)(8, 9), (1, 3, 2)(8, 9, 10) orbits: { 1, 2, 3 }, { 4 }, { 5, 6 }, { 7 }, { 8, 9, 10 } code no 121: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 2 0 1 0 0 0 2 0 0 2 0 2 1 0 0 0 0 2 0 1 2 2 1 0 0 0 0 0 2 the automorphism group has order 24 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 2 2 2 2 2 , 0 0 1 0 0 1 0 0 0 0 2 0 2 1 0 1 1 1 0 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (2, 3)(5, 6)(8, 9), (1, 2, 8, 10, 9, 3)(4, 7)(5, 6) orbits: { 1, 3, 2, 9, 8, 10 }, { 4, 7 }, { 5, 6 } code no 122: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 2 0 1 0 0 0 2 0 0 1 0 2 2 1 0 0 0 2 0 0 1 2 2 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 1 1 0 2 0 2 2 2 0 0 0 0 0 0 2 , 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6)(9, 10), (3, 8)(4, 7), (1, 2)(5, 6) orbits: { 1, 2 }, { 3, 8 }, { 4, 7 }, { 5, 6 }, { 9, 10 } code no 123: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 2 1 1 0 0 0 2 0 0 2 1 2 1 0 0 0 0 2 0 2 1 0 2 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 2 0 0 0 0 2 1 2 1 0 2 2 1 1 0 2 2 2 0 0 0 0 0 0 2 , 2 0 0 0 0 2 2 1 1 0 2 1 2 1 0 2 2 2 0 0 1 1 1 1 1 ) acting on the columns of the generator matrix as follows (in order): (2, 9)(3, 8)(4, 7), (2, 8)(3, 9)(4, 7)(5, 6) orbits: { 1 }, { 2, 9, 8, 3 }, { 4, 7 }, { 5, 6 }, { 10 } code no 124: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 2 1 1 0 0 0 2 0 0 2 1 2 0 1 0 0 0 2 0 0 2 2 1 1 0 0 0 0 2 the automorphism group has order 72 and is strongly generated by the following 4 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 2 2 0 1 2 1 0 2 , 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 , 1 0 0 0 0 0 1 1 2 2 1 1 1 1 1 0 0 0 1 0 1 1 2 2 0 , 2 2 1 1 0 0 0 0 2 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (4, 8)(5, 9)(6, 10), (2, 3)(4, 5)(8, 9), (2, 10)(3, 6)(5, 8), (1, 8)(2, 4)(6, 9) orbits: { 1, 8, 4, 9, 5, 2, 6, 3, 10 }, { 7 } code no 125: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 2 1 1 0 0 0 2 0 0 2 1 2 0 1 0 0 0 2 0 1 2 0 2 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 1 1 1 1 1 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 , 1 2 1 0 2 0 0 0 0 1 0 2 0 0 0 0 0 1 0 0 0 0 0 2 0 ) acting on the columns of the generator matrix as follows (in order): (1, 6)(2, 4)(3, 5)(8, 9), (1, 8, 6, 9)(2, 3, 4, 5) orbits: { 1, 6, 9, 8 }, { 2, 4, 5, 3 }, { 7 }, { 10 } code no 126: ================ 1 1 1 1 1 2 0 0 0 0 1 1 1 0 0 0 2 0 0 0 2 2 1 1 0 0 0 2 0 0 2 1 0 2 1 0 0 0 2 0 1 2 0 2 1 0 0 0 0 2 the automorphism group has order 4 and is strongly generated by the following 1 elements: ( 1 2 0 2 1 2 1 0 2 1 0 0 0 0 1 2 2 2 0 0 0 0 2 0 0 ) acting on the columns of the generator matrix as follows (in order): (1, 9, 2, 10)(3, 5)(4, 7)(6, 8) orbits: { 1, 10, 2, 9 }, { 3, 5 }, { 4, 7 }, { 6, 8 } code no 127: ================ 1 1 1 1 1 2 0 0 0 0 2 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 2 0 1 1 1 0 0 0 0 2 the automorphism group has order 120 and is strongly generated by the following 6 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 , 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 1 1 1 1 1 0 0 0 0 2 , 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 , 1 2 0 0 2 0 0 0 0 2 0 0 1 0 0 0 0 0 1 0 0 2 0 0 0 , 2 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 0 2 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (5, 6)(9, 10), (4, 5)(8, 9), (4, 6)(8, 10), (3, 5)(7, 9), (1, 9)(2, 5), (1, 9, 8, 10)(2, 5, 4, 6) orbits: { 1, 9, 10, 8, 7 }, { 2, 5, 6, 4, 3 } code no 128: ================ 1 1 1 1 1 2 0 0 0 0 2 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 1 0 0 1 0 0 0 2 0 2 2 1 1 1 0 0 0 0 2 the automorphism group has order 24 and is strongly generated by the following 4 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 , 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 , 2 0 0 0 0 0 2 0 0 0 2 1 1 0 0 2 1 0 1 0 2 1 0 0 1 , 0 1 0 0 0 1 0 0 0 0 2 1 0 1 0 2 1 1 0 0 2 1 0 0 1 ) acting on the columns of the generator matrix as follows (in order): (4, 5)(8, 9), (3, 5)(7, 9), (3, 7)(4, 8)(5, 9)(6, 10), (1, 2)(3, 8)(4, 7)(5, 9) orbits: { 1, 2 }, { 3, 5, 7, 8, 4, 9 }, { 6, 10 } code no 129: ================ 1 1 1 1 1 2 0 0 0 0 2 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 1 2 0 0 1 0 0 0 2 0 0 2 1 1 1 0 0 0 0 2 the automorphism group has order 240 and is strongly generated by the following 6 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 2 0 0 1 2 1 0 1 0 , 2 0 0 0 0 0 2 0 0 0 2 1 0 0 2 0 0 2 0 0 1 2 0 2 0 , 1 2 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 1 0 0 0 0 0 1 , 0 0 0 0 1 1 2 0 0 1 0 1 0 0 0 0 0 2 0 0 1 2 0 2 0 , 0 0 2 0 0 1 2 2 0 0 0 0 0 0 1 2 1 0 1 0 0 2 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (5, 6)(9, 10), (4, 9)(5, 8), (3, 4, 9)(5, 7, 8), (1, 7)(2, 3), (1, 7, 8, 5)(2, 3, 4, 9), (1, 9, 7, 2, 5, 3)(4, 8)(6, 10) orbits: { 1, 7, 5, 3, 9, 6, 8, 2, 10, 4 } code no 130: ================ 1 1 1 1 1 2 0 0 0 0 2 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 1 2 0 0 1 0 0 0 2 0 2 2 1 1 1 0 0 0 0 2 the automorphism group has order 12 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 2 0 0 1 2 1 0 1 0 , 2 0 0 0 0 0 2 0 0 0 2 1 0 0 2 0 0 2 0 0 1 2 0 2 0 , 0 1 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 ) acting on the columns of the generator matrix as follows (in order): (4, 9)(5, 8), (3, 4, 9)(5, 7, 8), (1, 2)(3, 4)(6, 10)(7, 8) orbits: { 1, 2 }, { 3, 9, 4 }, { 5, 8, 7 }, { 6, 10 } code no 131: ================ 1 1 1 1 1 2 0 0 0 0 2 1 1 0 0 0 2 0 0 0 2 1 0 1 0 0 0 2 0 0 2 2 0 0 1 0 0 0 2 0 2 0 2 1 1 0 0 0 0 2 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 2 0 0 0 0 0 2 0 0 0 2 1 1 0 0 0 0 0 2 0 0 0 0 0 2 , 0 1 0 0 0 1 0 0 0 0 0 0 2 0 0 0 0 0 2 0 1 1 0 0 2 , 0 0 1 0 0 2 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 2 2 ) acting on the columns of the generator matrix as follows (in order): (3, 7)(6, 10), (1, 2)(5, 9), (1, 3)(2, 7)(5, 10)(6, 9) orbits: { 1, 2, 3, 7 }, { 4 }, { 5, 9, 10, 6 }, { 8 } code no 132: ================ 1 1 1 1 1 2 0 0 0 0 2 1 1 0 0 0 2 0 0 0 1 2 0 1 0 0 0 2 0 0 2 2 1 1 0 0 0 0 2 0 2 0 2 1 0 0 0 0 0 2 the automorphism group has order 32 and is strongly generated by the following 4 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 2 1 1 0 0 0 0 2 0 0 1 1 2 2 0 1 1 1 1 1 , 0 2 0 0 0 2 0 0 0 0 1 2 2 0 0 2 1 0 2 0 1 1 1 1 1 , 2 2 1 1 0 0 0 0 1 0 1 0 1 2 0 1 2 2 0 0 2 2 2 2 2 ) acting on the columns of the generator matrix as follows (in order): (5, 6), (2, 7)(4, 9)(5, 6)(8, 10), (1, 2)(3, 7)(4, 8)(5, 6), (1, 10, 3, 9)(2, 8, 7, 4)(5, 6) orbits: { 1, 2, 9, 7, 4, 3, 8, 10 }, { 5, 6 } code no 133: ================ 1 1 1 1 1 2 0 0 0 0 2 1 1 0 0 0 2 0 0 0 1 2 0 1 0 0 0 2 0 0 2 2 0 0 1 0 0 0 2 0 2 0 2 1 1 0 0 0 0 2 the automorphism group has order 16 and is strongly generated by the following 4 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 1 0 2 0 1 1 0 0 2 , 2 0 0 0 0 0 2 0 0 0 2 1 1 0 0 1 2 0 1 0 2 2 0 0 1 , 0 2 0 0 0 2 0 0 0 0 1 2 2 0 0 2 1 0 2 0 0 0 0 0 2 , 1 2 2 0 0 0 0 2 0 0 0 2 0 0 0 2 1 0 2 0 2 0 2 1 1 ) acting on the columns of the generator matrix as follows (in order): (4, 8)(5, 9)(6, 10), (3, 7)(4, 8)(5, 9), (1, 2)(3, 7)(4, 8), (1, 7)(2, 3)(4, 8)(5, 10)(6, 9) orbits: { 1, 2, 7, 3 }, { 4, 8 }, { 5, 9, 10, 6 } code no 134: ================ 1 1 1 1 1 2 0 0 0 0 2 1 1 0 0 0 2 0 0 0 2 2 2 1 0 0 0 2 0 0 2 1 0 2 1 0 0 0 2 0 2 0 1 2 1 0 0 0 0 2 the automorphism group has order 160 and is strongly generated by the following 7 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 2 2 2 , 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 2 0 1 1 1 1 1 , 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 2 2 2 2 2 , 2 0 0 0 0 1 1 1 2 0 0 0 0 1 0 0 0 1 0 0 2 0 1 2 1 , 1 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 1 0 2 2 2 2 2 , 2 2 2 1 0 0 0 0 0 1 2 2 2 2 2 2 1 1 0 0 0 1 0 0 0 , 1 0 2 1 2 0 0 2 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 2 0 ) acting on the columns of the generator matrix as follows (in order): (5, 6)(9, 10), (4, 8)(5, 6), (2, 3)(5, 6), (2, 8)(3, 4)(5, 10)(6, 9), (1, 7)(5, 6), (1, 8)(2, 5)(3, 6)(4, 7), (1, 9, 7, 10)(2, 3)(4, 6)(5, 8) orbits: { 1, 7, 8, 10, 4, 9, 2, 5, 3, 6 }