Extensions 1→N→G→Q→1 with N=C₅ and Q=M₄(2)⋊₄C₄

Direct product G=N×Q with N=C₅ and Q=M₄(2)⋊₄C₄

		d	ρ	Label	ID
C₅×M₄(2)⋊₄C₄		80	4	C5xM4(2):4C4	320,149

Semidirect products G=N:Q with N=C₅ and Q=M₄(2)⋊₄C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(M₄(2)⋊₄C₄) = C₂²⋊C₄.F₅	φ: M₄(2)⋊₄C₄/C₂²⋊C₄ → C₄ ⊆ Aut C₅	80	8-	C5:1(M4(2):4C4)	320,205
C₅⋊₂(M₄(2)⋊₄C₄) = (C₂×C₈)⋊F₅	φ: M₄(2)⋊₄C₄/C₂×C₈ → C₄ ⊆ Aut C₅	80	4	C5:2(M4(2):4C4)	320,232
C₅⋊₃(M₄(2)⋊₄C₄) = M₄(2)⋊₄F₅	φ: M₄(2)⋊₄C₄/M₄(2) → C₄ ⊆ Aut C₅	80	8	C5:3(M4(2):4C4)	320,240
C₅⋊₄(M₄(2)⋊₄C₄) = C₂₀.₆₀(C₄⋊C₄)	φ: M₄(2)⋊₄C₄/C₄²⋊C₂ → C₂ ⊆ Aut C₅	80	4	C5:4(M4(2):4C4)	320,91
C₅⋊₅(M₄(2)⋊₄C₄) = (C₂×C₄₀)⋊C₄	φ: M₄(2)⋊₄C₄/C₂×M₄(2) → C₂ ⊆ Aut C₅	80	4	C5:5(M4(2):4C4)	320,114
C₅⋊₆(M₄(2)⋊₄C₄) = M₄(2)⋊₄Dic₅	φ: M₄(2)⋊₄C₄/C₂×M₄(2) → C₂ ⊆ Aut C₅	80	4	C5:6(M4(2):4C4)	320,117

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