Extensions 1→N→G→Q→1 with N=M₆(2) and Q=C₂

Direct product G=N×Q with N=M₆(2) and Q=C₂

		d	ρ	Label	ID
C₂×M₆(2)		64		C2xM6(2)	128,989

Semidirect products G=N:Q with N=M₆(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
M₆(2)⋊₁C₂ = C₃₂⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out M₆(2)	32	4+	M6(2):1C2	128,995
M₆(2)⋊₂C₂ = Q₆₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out M₆(2)	64	4-	M6(2):2C2	128,996
M₆(2)⋊₃C₂ = C₂³.C₁₆	φ: C₂/C₁ → C₂ ⊆ Out M₆(2)	32	4	M6(2):3C2	128,132
M₆(2)⋊₄C₂ = D₄.C₁₆	φ: C₂/C₁ → C₂ ⊆ Out M₆(2)	64	2	M6(2):4C2	128,133
M₆(2)⋊₅C₂ = D₁₆⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out M₆(2)	32	4	M6(2):5C2	128,150
M₆(2)⋊₆C₂ = M₆(2)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out M₆(2)	32	4+	M6(2):6C2	128,151
M₆(2)⋊₇C₂ = D₄○C₃₂	φ: trivial image	64	2	M6(2):7C2	128,990

Non-split extensions G=N.Q with N=M₆(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
M₆(2).₁C₂ = C₈.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out M₆(2)	32	4	M6(2).1C2	128,158
M₆(2).₂C₂ = C₃₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out M₆(2)	32	4	M6(2).2C2	128,130
M₆(2).₃C₂ = C₁₆.₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out M₆(2)	64	4-	M6(2).3C2	128,152
M₆(2).₄C₂ = C₈.C₁₆	φ: C₂/C₁ → C₂ ⊆ Out M₆(2)	32	2	M6(2).4C2	128,154

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