Extensions 1→N→G→Q→1 with N=C₅ and Q=M₆(2)

Direct product G=N×Q with N=C₅ and Q=M₆(2)

		d	ρ	Label	ID
C₅×M₆(2)		160	2	C5xM6(2)	320,175

Semidirect products G=N:Q with N=C₅ and Q=M₆(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁M₆(2) = C₈₀.C₄	φ: M₆(2)/C₁₆ → C₄ ⊆ Aut C₅	160	4	C5:1M6(2)	320,180
C₅⋊₂M₆(2) = C₅⋊M₆(2)	φ: M₆(2)/C₂×C₈ → C₄ ⊆ Aut C₅	160	4	C5:2M6(2)	320,215
C₅⋊₃M₆(2) = C₃₂⋊D₅	φ: M₆(2)/C₃₂ → C₂ ⊆ Aut C₅	160	2	C5:3M6(2)	320,5
C₅⋊₄M₆(2) = C₈₀.₉C₄	φ: M₆(2)/C₂×C₁₆ → C₂ ⊆ Aut C₅	160	2	C5:4M6(2)	320,57

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