Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=C₁₂

Direct product G=N×Q with N=C₅×Q₈ and Q=C₁₂

		d	ρ	Label	ID
Q₈×C₆₀		480		Q8xC60	480,924

Semidirect products G=N:Q with N=C₅×Q₈ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈)⋊C₁₂ = F₅×SL₂(𝔽₃)	φ: C₁₂/C₁ → C₁₂ ⊆ Out C₅×Q₈	40	8-	(C5xQ8):C12	480,965
(C₅×Q₈)⋊₂C₁₂ = Dic₅×SL₂(𝔽₃)	φ: C₁₂/C₂ → C₆ ⊆ Out C₅×Q₈	160		(C5xQ8):2C12	480,266
(C₅×Q₈)⋊₃C₁₂ = C₃×Q₈⋊F₅	φ: C₁₂/C₃ → C₄ ⊆ Out C₅×Q₈	120	8	(C5xQ8):3C12	480,289
(C₅×Q₈)⋊₄C₁₂ = C₃×Q₈⋊₂F₅	φ: C₁₂/C₃ → C₄ ⊆ Out C₅×Q₈	120	8	(C5xQ8):4C12	480,290
(C₅×Q₈)⋊₅C₁₂ = C₃×Q₈×F₅	φ: C₁₂/C₃ → C₄ ⊆ Out C₅×Q₈	120	8	(C5xQ8):5C12	480,1056
(C₅×Q₈)⋊₆C₁₂ = C₂₀×SL₂(𝔽₃)	φ: C₁₂/C₄ → C₃ ⊆ Out C₅×Q₈	160		(C5xQ8):6C12	480,655
(C₅×Q₈)⋊₇C₁₂ = C₃×Q₈⋊Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₅×Q₈	480		(C5xQ8):7C12	480,113
(C₅×Q₈)⋊₈C₁₂ = C₃×D₄⋊₂Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₅×Q₈	120	4	(C5xQ8):8C12	480,115
(C₅×Q₈)⋊₉C₁₂ = C₃×Q₈×Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₅×Q₈	480		(C5xQ8):9C12	480,738
(C₅×Q₈)⋊₁₀C₁₂ = C₁₅×Q₈⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₅×Q₈	480		(C5xQ8):10C12	480,206
(C₅×Q₈)⋊₁₁C₁₂ = C₁₅×C₄≀C₂	φ: C₁₂/C₆ → C₂ ⊆ Out C₅×Q₈	120	2	(C5xQ8):11C12	480,207

Non-split extensions G=N.Q with N=C₅×Q₈ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈).C₁₂ = SL₂(𝔽₃).F₅	φ: C₁₂/C₁ → C₁₂ ⊆ Out C₅×Q₈	160	8+	(C5xQ8).C12	480,964
(C₅×Q₈).₂C₁₂ = SL₂(𝔽₃).Dic₅	φ: C₁₂/C₂ → C₆ ⊆ Out C₅×Q₈	160	4	(C5xQ8).2C12	480,267
(C₅×Q₈).₃C₁₂ = C₃×Q₈.F₅	φ: C₁₂/C₃ → C₄ ⊆ Out C₅×Q₈	240	8	(C5xQ8).3C12	480,1055
(C₅×Q₈).₄C₁₂ = C₅×C₈.A₄	φ: C₁₂/C₄ → C₃ ⊆ Out C₅×Q₈	160	2	(C5xQ8).4C12	480,660
(C₅×Q₈).₅C₁₂ = C₃×D₄.Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₅×Q₈	240	4	(C5xQ8).5C12	480,741
(C₅×Q₈).₆C₁₂ = C₁₅×C₈○D₄	φ: trivial image	240	2	(C5xQ8).6C12	480,936

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