Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₂

Direct product G=N×Q with N=M₄(2) and Q=C₂

		d	ρ	Label	ID
C₂×M₄(2)		16		C2xM4(2)	32,37

Semidirect products G=N:Q with N=M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁C₂ = C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out M₄(2)	8	4+	M4(2):1C2	32,43
M₄(2)⋊₂C₂ = C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out M₄(2)	16	4-	M4(2):2C2	32,44
M₄(2)⋊₃C₂ = C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out M₄(2)	8	4+	M4(2):3C2	32,7
M₄(2)⋊₄C₂ = C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out M₄(2)	8	2	M4(2):4C2	32,11
M₄(2)⋊₅C₂ = C₈○D₄	φ: trivial image	16	2	M4(2):5C2	32,38

Non-split extensions G=N.Q with N=M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₂ = C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out M₄(2)	16	4-	M4(2).1C2	32,8
M₄(2).₂C₂ = C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out M₄(2)	16	2	M4(2).2C2	32,15

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