Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=F₅

Direct product G=N×Q with N=C₃×Q₈ and Q=F₅

		d	ρ	Label	ID
C₃×Q₈×F₅		120	8	C3xQ8xF5	480,1056

Semidirect products G=N:Q with N=C₃×Q₈ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁F₅ = Dic₁₀⋊₂Dic₃	φ: F₅/D₅ → C₂ ⊆ Out C₃×Q₈	120	8	(C3xQ8):1F5	480,314
(C₃×Q₈)⋊₂F₅ = D₂₀⋊₂Dic₃	φ: F₅/D₅ → C₂ ⊆ Out C₃×Q₈	120	8	(C3xQ8):2F5	480,315
(C₃×Q₈)⋊₃F₅ = Q₈×C₃⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₃×Q₈	120	8	(C3xQ8):3F5	480,1069
(C₃×Q₈)⋊₄F₅ = C₃×Q₈⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₃×Q₈	120	8	(C3xQ8):4F5	480,289
(C₃×Q₈)⋊₅F₅ = C₃×Q₈⋊₂F₅	φ: F₅/D₅ → C₂ ⊆ Out C₃×Q₈	120	8	(C3xQ8):5F5	480,290

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).F₅ = D₂₀.Dic₃	φ: F₅/D₅ → C₂ ⊆ Out C₃×Q₈	240	8	(C3xQ8).F5	480,1068
(C₃×Q₈).₂F₅ = C₃×Q₈.F₅	φ: trivial image	240	8	(C3xQ8).2F5	480,1055

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