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

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

		d	ρ	Label	ID
C₅×M₄(2)⋊C₄		160		C5xM4(2):C4	320,929

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(M₄(2)⋊C₄) = M₄(2)⋊₁F₅	φ: M₄(2)⋊C₄/M₄(2) → C₄ ⊆ Aut C₅	40	8	C5:(M4(2):C4)	320,1065
C₅⋊₂(M₄(2)⋊C₄) = C₈⋊(C₄×D₅)	φ: M₄(2)⋊C₄/C₄.Q₈ → C₂ ⊆ Aut C₅	160		C5:2(M4(2):C4)	320,488
C₅⋊₃(M₄(2)⋊C₄) = C₄₀⋊₂₀(C₂×C₄)	φ: M₄(2)⋊C₄/C₂.D₈ → C₂ ⊆ Aut C₅	160		C5:3(M4(2):C4)	320,508
C₅⋊₄(M₄(2)⋊C₄) = C₂₀.₄₇(C₄⋊C₄)	φ: M₄(2)⋊C₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:4(M4(2):C4)	320,591
C₅⋊₅(M₄(2)⋊C₄) = C₂₀.₆₄(C₄⋊C₄)	φ: M₄(2)⋊C₄/C₄²⋊C₂ → C₂ ⊆ Aut C₅	160		C5:5(M4(2):C4)	320,622
C₅⋊₆(M₄(2)⋊C₄) = C₂³.₄₇D₂₀	φ: M₄(2)⋊C₄/C₂×M₄(2) → C₂ ⊆ Aut C₅	160		C5:6(M4(2):C4)	320,748

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