Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=F₅

Direct product G=N×Q with N=C₃×D₄ and Q=F₅

		d	ρ	Label	ID
C₃×D₄×F₅		60	8	C3xD4xF5	480,1054

Semidirect products G=N:Q with N=C₃×D₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁F₅ = D₂₀⋊Dic₃	φ: F₅/D₅ → C₂ ⊆ Out C₃×D₄	120	8	(C3xD4):1F5	480,312
(C₃×D₄)⋊₂F₅ = Dic₁₀⋊Dic₃	φ: F₅/D₅ → C₂ ⊆ Out C₃×D₄	120	8	(C3xD4):2F5	480,313
(C₃×D₄)⋊₃F₅ = D₄×C₃⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₃×D₄	60	8	(C3xD4):3F5	480,1067
(C₃×D₄)⋊₄F₅ = C₃×D₂₀⋊C₄	φ: F₅/D₅ → C₂ ⊆ Out C₃×D₄	120	8	(C3xD4):4F5	480,287
(C₃×D₄)⋊₅F₅ = C₃×D₄⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₃×D₄	120	8	(C3xD4):5F5	480,288

Non-split extensions G=N.Q with N=C₃×D₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).F₅ = Dic₁₀.Dic₃	φ: F₅/D₅ → C₂ ⊆ Out C₃×D₄	240	8	(C3xD4).F5	480,1066
(C₃×D₄).₂F₅ = C₃×D₄.F₅	φ: trivial image	240	8	(C3xD4).2F5	480,1053

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