Copyright (c) 2004 James B. Wilson
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[Class] | [Family] | Samples by Order: [8], [27].
Let p be any prime.
Alternate Descriptions: (* Most common)
Subgroup Lattice
Name Symbol(s) *Elementary
AbelianEA(p^3) Abelian [p,p,p] * Cp x Cp x Cp,
Zp x Zp x ZpGAP ID:?
Standard Invariants:
Magma ID:?
Invariant Value Abelian True Nilpotent True Nilpotency Class 1 Ascending Central Series [0, Cp x Cp x Cp] Descending Central Series [Cp x Cp x Cp, 0] Solvable True Composition Factors {Cp, Cp, Cp} Automorphism Group ?