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

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

		d	ρ	Label	ID
C₅×M₄(2)		40	2	C5xM4(2)	80,24

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁M₄(2) = C₄.F₅	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₅	40	4	C5:1M4(2)	80,29
C₅⋊₂M₄(2) = C₂².F₅	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₅	40	4-	C5:2M4(2)	80,33
C₅⋊₃M₄(2) = C₈⋊D₅	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₅	40	2	C5:3M4(2)	80,5
C₅⋊₄M₄(2) = C₄.Dic₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₅	40	2	C5:4M4(2)	80,10

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