Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₁₀

Direct product G=N×Q with N=M₄(2) and Q=C₁₀

		d	ρ	Label	ID
C₁₀×M₄(2)		80		C10xM4(2)	160,191

Semidirect products G=N:Q with N=M₄(2) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁C₁₀ = C₅×C₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out M₄(2)	40	4	M4(2):1C10	160,197
M₄(2)⋊₂C₁₀ = C₅×C₈.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out M₄(2)	80	4	M4(2):2C10	160,198
M₄(2)⋊₃C₁₀ = C₅×C₄.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out M₄(2)	40	4	M4(2):3C10	160,50
M₄(2)⋊₄C₁₀ = C₅×C₄≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Out M₄(2)	40	2	M4(2):4C10	160,54
M₄(2)⋊₅C₁₀ = C₅×C₈○D₄	φ: trivial image	80	2	M4(2):5C10	160,192

Non-split extensions G=N.Q with N=M₄(2) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₁₀ = C₅×C₄.₁₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out M₄(2)	80	4	M4(2).1C10	160,51
M₄(2).₂C₁₀ = C₅×C₈.C₄	φ: C₁₀/C₅ → C₂ ⊆ Out M₄(2)	80	2	M4(2).2C10	160,58

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