Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄⋊M₄(2)

Direct product G=N×Q with N=C₅ and Q=C₄⋊M₄(2)

		d	ρ	Label	ID
C₅×C₄⋊M₄(2)		160		C5xC4:M4(2)	320,924

Semidirect products G=N:Q with N=C₅ and Q=C₄⋊M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄⋊M₄(2)) = C₂₀⋊₃M₄(2)	φ: C₄⋊M₄(2)/C₄² → C₄ ⊆ Aut C₅	160		C5:1(C4:M4(2))	320,1019
C₅⋊₂(C₄⋊M₄(2)) = C₄².₁₄F₅	φ: C₄⋊M₄(2)/C₄² → C₄ ⊆ Aut C₅	160		C5:2(C4:M4(2))	320,1020
C₅⋊₃(C₄⋊M₄(2)) = C₂₀⋊₈M₄(2)	φ: C₄⋊M₄(2)/C₂²×C₄ → C₄ ⊆ Aut C₅	160		C5:3(C4:M4(2))	320,1096
C₅⋊₄(C₄⋊M₄(2)) = C₂₀⋊₅M₄(2)	φ: C₄⋊M₄(2)/C₄⋊C₈ → C₂ ⊆ Aut C₅	160		C5:4(C4:M4(2))	320,464
C₅⋊₅(C₄⋊M₄(2)) = C₂₀⋊₁₃M₄(2)	φ: C₄⋊M₄(2)/C₂×C₄² → C₂ ⊆ Aut C₅	160		C5:5(C4:M4(2))	320,551
C₅⋊₆(C₄⋊M₄(2)) = Dic₅⋊₅M₄(2)	φ: C₄⋊M₄(2)/C₂×M₄(2) → C₂ ⊆ Aut C₅	160		C5:6(C4:M4(2))	320,745

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