Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄².₁₂C₄

Direct product G=N×Q with N=C₅ and Q=C₄².₁₂C₄

		d	ρ	Label	ID
C₅×C₄².₁₂C₄		160		C5xC4^2.12C4	320,932

Semidirect products G=N:Q with N=C₅ and Q=C₄².₁₂C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄².₁₂C₄) = C₄².₆F₅	φ: C₄².₁₂C₄/C₄² → C₄ ⊆ Aut C₅	160		C5:1(C4^2.12C4)	320,1016
C₅⋊₂(C₄².₁₂C₄) = C₄².₁₂F₅	φ: C₄².₁₂C₄/C₄² → C₄ ⊆ Aut C₅	160		C5:2(C4^2.12C4)	320,1018
C₅⋊₃(C₄².₁₂C₄) = Dic₅.₁₂M₄(2)	φ: C₄².₁₂C₄/C₂²×C₄ → C₄ ⊆ Aut C₅	160		C5:3(C4^2.12C4)	320,1086
C₅⋊₄(C₄².₁₂C₄) = C₂₀.₃₄M₄(2)	φ: C₄².₁₂C₄/C₂²×C₄ → C₄ ⊆ Aut C₅	160		C5:4(C4^2.12C4)	320,1092
C₅⋊₅(C₄².₁₂C₄) = C₄².₂₈₂D₁₀	φ: C₄².₁₂C₄/C₄×C₈ → C₂ ⊆ Aut C₅	160		C5:5(C4^2.12C4)	320,312
C₅⋊₆(C₄².₁₂C₄) = Dic₅.₁₄M₄(2)	φ: C₄².₁₂C₄/C₂²⋊C₈ → C₂ ⊆ Aut C₅	160		C5:6(C4^2.12C4)	320,345
C₅⋊₇(C₄².₁₂C₄) = C₄².₂₀₀D₁₀	φ: C₄².₁₂C₄/C₄⋊C₈ → C₂ ⊆ Aut C₅	160		C5:7(C4^2.12C4)	320,460
C₅⋊₈(C₄².₁₂C₄) = C₄².₆Dic₅	φ: C₄².₁₂C₄/C₂×C₄² → C₂ ⊆ Aut C₅	160		C5:8(C4^2.12C4)	320,552

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