Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=Dic₅

Direct product G=N×Q with N=C₃×D₄ and Q=Dic₅

		d	ρ	Label	ID
C₃×D₄×Dic₅		240		C3xD4xDic5	480,727

Semidirect products G=N:Q with N=C₃×D₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁Dic₅ = D₄⋊Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₃×D₄	240		(C3xD4):1Dic5	480,192
(C₃×D₄)⋊₂Dic₅ = Q₈⋊₃Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₃×D₄	120	4	(C3xD4):2Dic5	480,197
(C₃×D₄)⋊₃Dic₅ = D₄×Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₃×D₄	240		(C3xD4):3Dic5	480,899
(C₃×D₄)⋊₄Dic₅ = C₃×D₄⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₃×D₄	240		(C3xD4):4Dic5	480,110
(C₃×D₄)⋊₅Dic₅ = C₃×D₄⋊₂Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₃×D₄	120	4	(C3xD4):5Dic5	480,115

Non-split extensions G=N.Q with N=C₃×D₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).Dic₅ = D₄.Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₃×D₄	240	4	(C3xD4).Dic5	480,913
(C₃×D₄).₂Dic₅ = C₃×D₄.Dic₅	φ: trivial image	240	4	(C3xD4).2Dic5	480,741

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