Extensions 1→N→G→Q→1 with N=C₃×M₄(2) and Q=C₁₀

Direct product G=N×Q with N=C₃×M₄(2) and Q=C₁₀

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

Semidirect products G=N:Q with N=C₃×M₄(2) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×M₄(2))⋊₁C₁₀ = C₅×C₈⋊D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4	(C3xM4(2)):1C10	480,787
(C₃×M₄(2))⋊₂C₁₀ = C₅×C₈.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4	(C3xM4(2)):2C10	480,788
(C₃×M₄(2))⋊₃C₁₀ = C₁₅×C₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4	(C3xM4(2)):3C10	480,941
(C₃×M₄(2))⋊₄C₁₀ = C₁₅×C₈.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4	(C3xM4(2)):4C10	480,942
(C₃×M₄(2))⋊₅C₁₀ = C₅×S₃×M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4	(C3xM4(2)):5C10	480,785
(C₃×M₄(2))⋊₆C₁₀ = C₅×D₁₂.C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4	(C3xM4(2)):6C10	480,786
(C₃×M₄(2))⋊₇C₁₀ = C₅×C₁₂.₄₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4	(C3xM4(2)):7C10	480,142
(C₃×M₄(2))⋊₈C₁₀ = C₅×D₁₂⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4	(C3xM4(2)):8C10	480,144
(C₃×M₄(2))⋊₉C₁₀ = C₁₅×C₄.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4	(C3xM4(2)):9C10	480,203
(C₃×M₄(2))⋊₁₀C₁₀ = C₁₅×C₄≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	2	(C3xM4(2)):10C10	480,207
(C₃×M₄(2))⋊₁₁C₁₀ = C₁₅×C₈○D₄	φ: trivial image	240	2	(C3xM4(2)):11C10	480,936

Non-split extensions G=N.Q with N=C₃×M₄(2) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×M₄(2)).₁C₁₀ = C₅×C₁₂.₅₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4	(C3xM4(2)).1C10	480,141
(C₃×M₄(2)).₂C₁₀ = C₅×C₁₂.₄₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4	(C3xM4(2)).2C10	480,143
(C₃×M₄(2)).₃C₁₀ = C₁₅×C₄.₁₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4	(C3xM4(2)).3C10	480,204
(C₃×M₄(2)).₄C₁₀ = C₁₅×C₈.C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	2	(C3xM4(2)).4C10	480,211

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