Extensions 1→N→G→Q→1 with N=M₄(2) and Q=Q₈

Direct product G=N×Q with N=M₄(2) and Q=Q₈

		d	ρ	Label	ID
Q₈×M₄(2)		64		Q8xM4(2)	128,1695

Semidirect products G=N:Q with N=M₄(2) and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁Q₈ = M₄(2)⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Out M₄(2)	32		M4(2):1Q8	128,792
M₄(2)⋊₂Q₈ = C₄²⋊₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Out M₄(2)	32		M4(2):2Q8	128,793
M₄(2)⋊₃Q₈ = M₄(2)⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2):3Q8	128,1895
M₄(2)⋊₄Q₈ = M₄(2)⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2):4Q8	128,1896
M₄(2)⋊₅Q₈ = M₄(2)⋊₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2):5Q8	128,1897
M₄(2)⋊₆Q₈ = M₄(2)⋊₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2):6Q8	128,1898
M₄(2)⋊₇Q₈ = M₄(2)⋊₇Q₈	φ: Q₈/C₄ → C₂ ⊆ Out M₄(2)	32		M4(2):7Q8	128,718
M₄(2)⋊₈Q₈ = M₄(2)⋊₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2):8Q8	128,729
M₄(2)⋊₉Q₈ = M₄(2)⋊₉Q₈	φ: trivial image	64		M4(2):9Q8	128,1694

Non-split extensions G=N.Q with N=M₄(2) and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁Q₈ = M₄(2).Q₈	φ: Q₈/C₂ → C₂² ⊆ Out M₄(2)	64		M4(2).1Q8	128,821
M₄(2).₂Q₈ = M₄(2).₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out M₄(2)	64		M4(2).2Q8	128,822
M₄(2).₃Q₈ = M₄(2).₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out M₄(2)	32		M4(2).3Q8	128,654
M₄(2).₄Q₈ = C₄².₄₃₀D₄	φ: Q₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2).4Q8	128,682
M₄(2).₅Q₈ = M₄(2).₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2).5Q8	128,683
M₄(2).₆Q₈ = M₄(2).₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2).6Q8	128,684
M₄(2).₇Q₈ = C₄².₁₂₈D₄	φ: Q₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2).7Q8	128,730

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