Extensions 1→N→G→Q→1 with N=C₅ and Q=M₅(2)⋊C₂

Direct product G=N×Q with N=C₅ and Q=M₅(2)⋊C₂

		d	ρ	Label	ID
C₅×M₅(2)⋊C₂		80	4	C5xM5(2):C2	320,166

Semidirect products G=N:Q with N=C₅ and Q=M₅(2)⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(M₅(2)⋊C₂) = D₄₀.C₄	φ: M₅(2)⋊C₂/D₈ → C₄ ⊆ Aut C₅	80	8+	C5:(M5(2):C2)	320,244
C₅⋊₂(M₅(2)⋊C₂) = D₄₀.₆C₄	φ: M₅(2)⋊C₂/C₈.C₄ → C₂ ⊆ Aut C₅	80	4+	C5:2(M5(2):C2)	320,53
C₅⋊₃(M₅(2)⋊C₂) = D₄₀.₄C₄	φ: M₅(2)⋊C₂/M₅(2) → C₂ ⊆ Aut C₅	80	4+	C5:3(M5(2):C2)	320,74
C₅⋊₄(M₅(2)⋊C₂) = D₈.Dic₅	φ: M₅(2)⋊C₂/C₂×D₈ → C₂ ⊆ Aut C₅	80	4	C5:4(M5(2):C2)	320,121

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