the 125 isometry classes of irreducible [7,3,5]_16 codes are: code no 1: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 2 3 1 0 0 1 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 } code no 2: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 9 2 3 1 0 0 1 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 } code no 3: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 11 2 3 1 0 0 1 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 } code no 4: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 14 2 3 1 0 0 1 the automorphism group has order 3 and is strongly generated by the following 1 elements: ( 6 0 0 0 14 14 14 14 0 0 0 14 10 11 5 14 , 0 ) acting on the columns of the generator matrix as follows (in order): (2, 7, 5)(3, 6, 4) orbits: { 1 }, { 2, 5, 7 }, { 3, 4, 6 } code no 5: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 2 4 3 1 0 0 1 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 } code no 6: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 9 4 3 1 0 0 1 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 } code no 7: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 10 4 3 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 2 0 0 4 0 0 0 0 0 5 0 9 13 15 5 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(4, 7)(5, 6) orbits: { 1, 2 }, { 3 }, { 4, 7 }, { 5, 6 } code no 8: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 11 4 3 1 0 0 1 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 } code no 9: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 12 4 3 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 0 0 15 11 11 11 11 6 10 11 4 13 0 0 0 , 2 ) acting on the columns of the generator matrix as follows (in order): (1, 4)(2, 5)(3, 7) orbits: { 1, 4 }, { 2, 5 }, { 3, 7 }, { 6 } code no 10: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 13 4 3 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 10 0 0 0 3 3 3 3 5 9 11 2 12 14 8 1 , 2 ) acting on the columns of the generator matrix as follows (in order): (2, 5)(3, 6)(4, 7) orbits: { 1 }, { 2, 5 }, { 3, 6 }, { 4, 7 } code no 11: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 14 4 3 1 0 0 1 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 } code no 12: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 4 3 1 0 0 1 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 } code no 13: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 2 5 3 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 9 0 0 9 0 0 0 0 0 9 0 9 9 9 9 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(4, 5)(6, 7) orbits: { 1, 2 }, { 3 }, { 4, 5 }, { 6, 7 } code no 14: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 5 3 1 0 0 1 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 } code no 15: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 9 5 3 1 0 0 1 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 } code no 16: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 10 5 3 1 0 0 1 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 } code no 17: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 5 3 1 0 0 1 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 } code no 18: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 2 6 3 1 0 0 1 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 } code no 19: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 9 6 3 1 0 0 1 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 } code no 20: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 10 6 3 1 0 0 1 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 } code no 21: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 11 6 3 1 0 0 1 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 } code no 22: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 12 6 3 1 0 0 1 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 } code no 23: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 13 6 3 1 0 0 1 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 } code no 24: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 14 6 3 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 9 5 11 4 9 9 9 9 0 0 0 13 0 0 2 0 , 2 ) acting on the columns of the generator matrix as follows (in order): (1, 7)(2, 5)(3, 4) orbits: { 1, 7 }, { 2, 5 }, { 3, 4 }, { 6 } code no 25: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 6 3 1 0 0 1 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 } code no 26: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 7 3 1 0 0 1 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 } code no 27: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 9 7 3 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 0 5 0 7 4 8 12 5 0 0 0 3 5 12 13 , 2 ) acting on the columns of the generator matrix as follows (in order): (1, 3)(2, 6)(4, 7) orbits: { 1, 3 }, { 2, 6 }, { 4, 7 }, { 5 } code no 28: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 10 7 3 1 0 0 1 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 } code no 29: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 11 7 3 1 0 0 1 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 } code no 30: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 13 7 3 1 0 0 1 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 } code no 31: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 7 3 1 0 0 1 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 } code no 32: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 9 8 3 1 0 0 1 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 } code no 33: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 10 8 3 1 0 0 1 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 } code no 34: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 12 8 3 1 0 0 1 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 } code no 35: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 8 3 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 0 4 0 13 14 4 11 2 0 0 0 10 11 5 14 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 3)(2, 7)(4, 6) orbits: { 1, 3 }, { 2, 7 }, { 4, 6 }, { 5 } code no 36: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 2 9 3 1 0 0 1 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 } code no 37: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 9 3 1 0 0 1 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 } code no 38: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 10 9 3 1 0 0 1 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 } code no 39: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 11 9 3 1 0 0 1 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 } code no 40: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 9 3 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 13 0 0 15 0 0 0 0 0 2 0 8 6 4 2 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(4, 6)(5, 7) orbits: { 1, 2 }, { 3 }, { 4, 6 }, { 5, 7 } code no 41: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 5 11 3 1 0 0 1 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 } code no 42: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 11 3 1 0 0 1 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 } code no 43: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 13 11 3 1 0 0 1 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 } code no 44: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 14 11 3 1 0 0 1 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 } code no 45: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 11 3 1 0 0 1 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 } code no 46: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 2 12 3 1 0 0 1 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 } code no 47: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 11 12 3 1 0 0 1 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 } code no 48: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 13 12 3 1 0 0 1 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 } code no 49: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 14 12 3 1 0 0 1 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 } code no 50: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 12 3 1 0 0 1 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 } code no 51: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 13 3 1 0 0 1 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 } code no 52: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 13 3 1 0 0 1 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 } code no 53: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 15 3 1 0 0 1 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 } code no 54: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 9 15 3 1 0 0 1 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 } code no 55: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 10 15 3 1 0 0 1 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 } code no 56: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 12 15 3 1 0 0 1 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 } code no 57: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 3 2 5 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 0 9 0 0 9 0 0 9 0 0 0 9 9 9 9 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 3)(4, 5)(6, 7) orbits: { 1, 3 }, { 2 }, { 4, 5 }, { 6, 7 } code no 58: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 2 5 1 0 0 1 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 } code no 59: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 9 2 5 1 0 0 1 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 } code no 60: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 2 4 5 1 0 0 1 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 } code no 61: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 6 4 5 1 0 0 1 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 } code no 62: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 4 5 1 0 0 1 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 } code no 63: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 9 4 5 1 0 0 1 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 } code no 64: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 14 4 5 1 0 0 1 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 } code no 65: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 2 6 5 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 0 0 15 0 2 0 0 4 11 9 6 13 0 0 0 , 2 ) acting on the columns of the generator matrix as follows (in order): (1, 4)(3, 7) orbits: { 1, 4 }, { 2 }, { 3, 7 }, { 5 }, { 6 } code no 66: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 7 6 5 1 0 0 1 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 } code no 67: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 12 6 5 1 0 0 1 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 } code no 68: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 14 6 5 1 0 0 1 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 } code no 69: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 6 7 5 1 0 0 1 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 } code no 70: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 11 7 5 1 0 0 1 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 } code no 71: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 12 7 5 1 0 0 1 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 } code no 72: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 3 8 5 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 15 2 11 9 8 5 1 15 0 0 13 0 7 7 7 7 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 6)(2, 7)(4, 5) orbits: { 1, 6 }, { 2, 7 }, { 3 }, { 4, 5 } code no 73: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 6 8 5 1 0 0 1 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 } code no 74: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 7 8 5 1 0 0 1 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 } code no 75: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 12 8 5 1 0 0 1 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 } code no 76: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 8 5 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 1 0 0 0 0 0 0 3 3 5 1 15 0 8 0 0 , 0 ) acting on the columns of the generator matrix as follows (in order): (2, 4)(3, 7)(5, 6) orbits: { 1 }, { 2, 4 }, { 3, 7 }, { 5, 6 } code no 77: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 9 5 1 0 0 1 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 } code no 78: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 14 9 5 1 0 0 1 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 } code no 79: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 9 5 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 2 2 2 13 15 10 5 0 0 10 0 6 13 2 7 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 5)(2, 6)(4, 7) orbits: { 1, 5 }, { 2, 6 }, { 3 }, { 4, 7 } code no 80: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 2 10 5 1 0 0 1 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 } code no 81: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 6 10 5 1 0 0 1 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 } code no 82: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 11 10 5 1 0 0 1 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 } code no 83: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 12 5 1 0 0 1 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 } code no 84: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 3 13 5 1 0 0 1 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 } code no 85: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 13 5 1 0 0 1 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 } code no 86: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 12 13 5 1 0 0 1 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 } code no 87: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 6 15 5 1 0 0 1 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 } code no 88: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 15 5 1 0 0 1 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 } code no 89: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 5 2 6 1 0 0 1 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 } code no 90: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 9 2 6 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 11 1 9 8 13 13 13 13 0 0 3 0 6 10 7 5 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 6)(2, 5)(4, 7) orbits: { 1, 6 }, { 2, 5 }, { 3 }, { 4, 7 } code no 91: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 13 2 6 1 0 0 1 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 3 7 14 9 0 3 0 0 0 0 5 0 0 0 0 15 , 2 , 12 5 8 7 0 5 0 0 0 0 8 0 0 0 0 7 , 3 ) acting on the columns of the generator matrix as follows (in order): (1, 6)(5, 7), (1, 5, 6, 7) orbits: { 1, 6, 7, 5 }, { 2 }, { 3 }, { 4 } code no 92: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 13 4 6 1 0 0 1 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 } code no 93: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 13 7 6 1 0 0 1 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 } code no 94: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 8 6 1 0 0 1 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 } code no 95: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 3 9 6 1 0 0 1 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 } code no 96: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 14 9 6 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 15 15 15 15 0 0 15 0 0 15 0 0 0 0 0 15 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 5)(2, 3)(6, 7) orbits: { 1, 5 }, { 2, 3 }, { 4 }, { 6, 7 } code no 97: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 11 10 6 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 7 4 15 11 0 7 0 0 0 0 0 15 0 0 14 0 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 6)(3, 4)(5, 7) orbits: { 1, 6 }, { 2 }, { 3, 4 }, { 5, 7 } code no 98: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 13 10 6 1 0 0 1 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 } code no 99: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 14 10 6 1 0 0 1 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 } code no 100: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 7 11 6 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 2 0 0 0 1 10 13 7 15 6 1 14 12 12 12 12 , 2 ) acting on the columns of the generator matrix as follows (in order): (2, 6)(3, 7)(4, 5) orbits: { 1 }, { 2, 6 }, { 3, 7 }, { 4, 5 } code no 101: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 3 13 6 1 0 0 1 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 } code no 102: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 5 14 6 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 9 0 0 0 0 0 11 0 0 1 0 0 0 0 0 6 , 2 ) acting on the columns of the generator matrix as follows (in order): (2, 3)(5, 7) orbits: { 1 }, { 2, 3 }, { 4 }, { 5, 7 }, { 6 } code no 103: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 5 15 6 1 0 0 1 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 } code no 104: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 3 4 7 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 12 9 5 13 0 12 0 0 0 0 0 2 0 0 15 0 , 2 ) acting on the columns of the generator matrix as follows (in order): (1, 7)(3, 4)(5, 6) orbits: { 1, 7 }, { 2 }, { 3, 4 }, { 5, 6 } code no 105: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 10 9 7 1 0 0 1 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 } code no 106: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 13 9 7 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 14 0 0 0 7 7 7 7 6 14 3 13 15 12 4 10 , 0 ) acting on the columns of the generator matrix as follows (in order): (2, 5)(3, 6)(4, 7) orbits: { 1 }, { 2, 5 }, { 3, 6 }, { 4, 7 } code no 107: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 15 9 7 1 0 0 1 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 0 0 0 8 13 5 3 11 0 0 5 0 1 0 0 0 , 0 , 0 3 0 0 7 0 0 0 0 0 14 0 13 8 1 4 , 2 ) acting on the columns of the generator matrix as follows (in order): (1, 4)(2, 7)(5, 6), (1, 2)(4, 7)(5, 6) orbits: { 1, 4, 2, 7 }, { 3 }, { 5, 6 } code no 108: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 6 10 7 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 9 0 0 0 15 15 15 15 0 0 6 0 6 2 9 15 , 2 ) acting on the columns of the generator matrix as follows (in order): (2, 5)(4, 7) orbits: { 1 }, { 2, 5 }, { 3 }, { 4, 7 }, { 6 } code no 109: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 6 11 7 1 0 0 1 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 } code no 110: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 2 12 7 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 0 0 5 12 3 11 6 3 3 3 3 15 0 0 0 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 4)(2, 7)(3, 5) orbits: { 1, 4 }, { 2, 7 }, { 3, 5 }, { 6 } code no 111: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 2 14 7 1 0 0 1 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 } code no 112: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 12 4 8 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 0 0 10 0 10 0 0 10 10 10 10 10 0 0 0 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 4)(3, 5)(6, 7) orbits: { 1, 4 }, { 2 }, { 3, 5 }, { 6, 7 } code no 113: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 7 5 8 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 0 1 0 13 13 13 13 5 0 0 0 8 11 12 13 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 3)(2, 5)(4, 7) orbits: { 1, 3 }, { 2, 5 }, { 4, 7 }, { 6 } code no 114: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 12 6 8 1 0 0 1 the automorphism group has order 6 and is strongly generated by the following 2 elements: ( 10 11 15 4 9 9 9 9 3 14 6 2 0 0 0 15 , 2 , 3 3 3 3 10 15 13 12 9 12 1 13 0 0 0 2 , 2 ) acting on the columns of the generator matrix as follows (in order): (1, 6)(2, 5)(3, 7), (1, 7, 2, 6, 3, 5) orbits: { 1, 6, 5, 2, 3, 7 }, { 4 } code no 115: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 6 2 9 1 0 0 1 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 } code no 116: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 2 9 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 0 9 0 0 9 0 0 0 9 9 9 9 0 0 0 9 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(3, 5)(6, 7) orbits: { 1, 2 }, { 3, 5 }, { 4 }, { 6, 7 } code no 117: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 10 4 9 1 0 0 1 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 13 0 0 0 3 10 8 4 0 0 11 0 3 7 14 9 , 2 , 7 0 0 0 14 6 15 9 9 9 9 9 0 15 0 0 , 3 ) acting on the columns of the generator matrix as follows (in order): (2, 7)(4, 6), (2, 4, 7, 6)(3, 5) orbits: { 1 }, { 2, 7, 6, 4 }, { 3, 5 } code no 118: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 8 5 9 1 0 0 1 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 } code no 119: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 6 8 9 1 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 10 0 0 0 10 10 10 10 0 0 0 10 0 0 10 0 , 2 ) acting on the columns of the generator matrix as follows (in order): (2, 5)(3, 4)(6, 7) orbits: { 1 }, { 2, 5 }, { 3, 4 }, { 6, 7 } code no 120: ================ 1 1 1 1 1 0 0 4 3 2 1 0 1 0 7 8 9 1 0 0 1 the automorphism group has order 6 and is strongly generated by the following 1 elements: ( 9 0 0 0 6 14 5 11 0 5 0 0 15 11 5 14 , 2 ) acting on the columns of the generator matrix as follows (in order): (2, 3, 7, 4, 5, 6) orbits: { 1 }, { 2, 6, 5, 4, 7, 3 } code no 121: ================ 1 1 1 1 1 0 0 12 3 2 1 0 1 0 5 4 3 1 0 0 1 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 0 6 0 0 14 0 0 0 0 0 3 0 11 3 6 5 , 2 , 3 14 2 12 0 0 0 2 0 0 12 0 13 0 0 0 , 3 ) acting on the columns of the generator matrix as follows (in order): (1, 2)(4, 6), (1, 4, 2, 6) orbits: { 1, 2, 6, 4 }, { 3 }, { 5 }, { 7 } code no 122: ================ 1 1 1 1 1 0 0 12 3 2 1 0 1 0 8 5 3 1 0 0 1 the automorphism group has order 8 and is strongly generated by the following 3 elements: ( 15 0 0 0 0 1 0 0 0 0 3 0 0 0 0 5 , 2 , 0 2 0 0 13 0 0 0 0 0 1 0 14 1 2 3 , 2 , 14 9 3 10 0 0 0 3 0 0 10 0 7 0 0 0 , 3 ) acting on the columns of the generator matrix as follows (in order): (5, 7), (1, 2)(4, 6), (1, 4, 2, 6) orbits: { 1, 2, 6, 4 }, { 3 }, { 5, 7 } code no 123: ================ 1 1 1 1 1 0 0 12 3 2 1 0 1 0 9 7 14 1 0 0 1 the automorphism group has order 40 and is strongly generated by the following 4 elements: ( 7 0 0 0 0 7 0 0 7 7 7 7 0 0 0 7 , 2 , 4 0 0 0 9 10 3 13 0 0 14 0 0 7 0 0 , 3 , 3 14 2 12 0 0 0 2 0 0 12 0 13 0 0 0 , 3 , 6 9 15 11 15 0 0 0 9 9 9 9 0 0 0 2 , 3 ) acting on the columns of the generator matrix as follows (in order): (3, 5), (2, 4, 6, 7), (1, 4, 2, 6), (1, 2, 6, 7)(3, 5) orbits: { 1, 6, 7, 4, 2 }, { 3, 5 } code no 124: ================ 1 1 1 1 1 0 0 6 5 2 1 0 1 0 14 12 3 1 0 0 1 the automorphism group has order 20 and is strongly generated by the following 4 elements: ( 3 0 0 0 13 10 14 9 0 0 3 0 1 5 2 6 , 2 , 8 0 0 0 0 0 0 6 0 0 14 0 13 5 11 3 , 1 , 14 1 12 3 0 0 0 2 0 0 13 0 15 0 0 0 , 3 , 3 5 11 13 0 14 0 0 0 0 14 0 11 3 13 5 , 3 ) acting on the columns of the generator matrix as follows (in order): (2, 6)(4, 7), (2, 7, 6, 4), (1, 4, 2, 6), (1, 6, 4, 7) orbits: { 1, 6, 7, 2, 4 }, { 3 }, { 5 } code no 125: ================ 1 1 1 1 1 0 0 10 5 2 1 0 1 0 9 12 3 1 0 0 1 the automorphism group has order 12 and is strongly generated by the following 3 elements: ( 1 0 0 0 14 9 4 6 0 0 15 0 14 8 10 7 , 2 , 12 10 14 9 0 6 0 0 0 0 2 0 12 12 12 12 , 2 , 13 15 9 7 12 12 12 12 0 0 10 0 1 12 15 11 , 0 ) acting on the columns of the generator matrix as follows (in order): (2, 6)(4, 7), (1, 6)(4, 5), (1, 7)(2, 5)(4, 6) orbits: { 1, 6, 7, 2, 4, 5 }, { 3 }