Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₃₀

Direct product G=N×Q with N=M₄(2) and Q=C₃₀

		d	ρ	Label	ID
M₄(2)×C₃₀		240		M4(2)xC30	480,935

Semidirect products G=N:Q with N=M₄(2) and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁C₃₀ = C₁₅×C₈⋊C₂²	φ: C₃₀/C₁₅ → C₂ ⊆ Out M₄(2)	120	4	M4(2):1C30	480,941
M₄(2)⋊₂C₃₀ = C₁₅×C₈.C₂²	φ: C₃₀/C₁₅ → C₂ ⊆ Out M₄(2)	240	4	M4(2):2C30	480,942
M₄(2)⋊₃C₃₀ = C₁₅×C₄.D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out M₄(2)	120	4	M4(2):3C30	480,203
M₄(2)⋊₄C₃₀ = C₁₅×C₄≀C₂	φ: C₃₀/C₁₅ → C₂ ⊆ Out M₄(2)	120	2	M4(2):4C30	480,207
M₄(2)⋊₅C₃₀ = C₁₅×C₈○D₄	φ: trivial image	240	2	M4(2):5C30	480,936

Non-split extensions G=N.Q with N=M₄(2) and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₃₀ = C₁₅×C₄.₁₀D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out M₄(2)	240	4	M4(2).1C30	480,204
M₄(2).₂C₃₀ = C₁₅×C₈.C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out M₄(2)	240	2	M4(2).2C30	480,211

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