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
M₄(2)×C₂₀		160		M4(2)xC20	320,905

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)) = C₄×C₄.F₅	φ: C₄×M₄(2)/C₄² → C₄ ⊆ Aut C₅	160		C5:1(C4xM4(2))	320,1015
C₅⋊₂(C₄×M₄(2)) = M₄(2)×F₅	φ: C₄×M₄(2)/M₄(2) → C₄ ⊆ Aut C₅	40	8	C5:2(C4xM4(2))	320,1064
C₅⋊₃(C₄×M₄(2)) = C₄×C₂².F₅	φ: C₄×M₄(2)/C₂²×C₄ → C₄ ⊆ Aut C₅	160		C5:3(C4xM4(2))	320,1088
C₅⋊₄(C₄×M₄(2)) = C₄×C₈⋊D₅	φ: C₄×M₄(2)/C₄×C₈ → C₂ ⊆ Aut C₅	160		C5:4(C4xM4(2))	320,314
C₅⋊₅(C₄×M₄(2)) = D₁₀.₆C₄²	φ: C₄×M₄(2)/C₈⋊C₄ → C₂ ⊆ Aut C₅	160		C5:5(C4xM4(2))	320,334
C₅⋊₆(C₄×M₄(2)) = C₄×C₄.Dic₅	φ: C₄×M₄(2)/C₂×C₄² → C₂ ⊆ Aut C₅	160		C5:6(C4xM4(2))	320,549
C₅⋊₇(C₄×M₄(2)) = M₄(2)×Dic₅	φ: C₄×M₄(2)/C₂×M₄(2) → C₂ ⊆ Aut C₅	160		C5:7(C4xM4(2))	320,744

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