Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₈

Direct product G=N×Q with N=M₄(2) and Q=C₈

		d	ρ	Label	ID
C₈×M₄(2)		64		C8xM4(2)	128,181

Semidirect products G=N:Q with N=M₄(2) and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁C₈ = M₄(2)⋊₁C₈	φ: C₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2):1C8	128,297
M₄(2)⋊₂C₈ = M₄(2)⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2):2C8	128,10
M₄(2)⋊₃C₈ = C₄².₃Q₈	φ: C₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2):3C8	128,15

Non-split extensions G=N.Q with N=M₄(2) and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₈ = M₄(2).₁C₈	φ: C₈/C₄ → C₂ ⊆ Out M₄(2)	32	4	M4(2).1C8	128,885
M₄(2).₂C₈ = M₄(2).C₈	φ: C₈/C₄ → C₂ ⊆ Out M₄(2)	32	4	M4(2).2C8	128,110
M₄(2).₃C₈ = M₅(2)⋊₇C₄	φ: C₈/C₄ → C₂ ⊆ Out M₄(2)	64		M4(2).3C8	128,111
M₄(2).₄C₈ = D₄.C₁₆	φ: C₈/C₄ → C₂ ⊆ Out M₄(2)	64	2	M4(2).4C8	128,133
M₄(2).₅C₈ = C₁₆○₂M₅(2)	φ: trivial image	64		M4(2).5C8	128,840
M₄(2).₆C₈ = D₄○C₃₂	φ: trivial image	64	2	M4(2).6C8	128,990

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