Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=C₁₀

Direct product G=N×Q with N=C₃×D₄ and Q=C₁₀

		d	ρ	Label	ID
D₄×C₃₀		120		D4xC30	240,186

Semidirect products G=N:Q with N=C₃×D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁C₁₀ = C₅×D₄⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₄	120	4	(C3xD4):1C10	240,60
(C₃×D₄)⋊₂C₁₀ = C₅×S₃×D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₄	60	4	(C3xD4):2C10	240,169
(C₃×D₄)⋊₃C₁₀ = C₅×D₄⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₄	120	4	(C3xD4):3C10	240,170
(C₃×D₄)⋊₄C₁₀ = C₁₅×D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₄	120	2	(C3xD4):4C10	240,86
(C₃×D₄)⋊₅C₁₀ = C₁₅×C₄○D₄	φ: trivial image	120	2	(C3xD4):5C10	240,188

Non-split extensions G=N.Q with N=C₃×D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).₁C₁₀ = C₅×D₄.S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₄	120	4	(C3xD4).1C10	240,61
(C₃×D₄).₂C₁₀ = C₁₅×SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₄	120	2	(C3xD4).2C10	240,87

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