Extensions 1→N→G→Q→1 with N=C₁₂×F₅ and Q=C₂

Direct product G=N×Q with N=C₁₂×F₅ and Q=C₂

		d	ρ	Label	ID
F₅×C₂×C₁₂		120		F5xC2xC12	480,1050

Semidirect products G=N:Q with N=C₁₂×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₂×F₅)⋊₁C₂ = D₁₂⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	120	8-	(C12xF5):1C2	480,232
(C₁₂×F₅)⋊₂C₂ = D₆₀⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	120	8+	(C12xF5):2C2	480,234
(C₁₂×F₅)⋊₃C₂ = F₅×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	60	8+	(C12xF5):3C2	480,995
(C₁₂×F₅)⋊₄C₂ = (C₄×S₃)⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	120	8	(C12xF5):4C2	480,985
(C₁₂×F₅)⋊₅C₂ = C₄×S₃×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	60	8	(C12xF5):5C2	480,994
(C₁₂×F₅)⋊₆C₂ = C₃×D₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	120	8	(C12xF5):6C2	480,288
(C₁₂×F₅)⋊₇C₂ = C₃×Q₈⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	120	8	(C12xF5):7C2	480,290
(C₁₂×F₅)⋊₈C₂ = C₃×D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	60	8	(C12xF5):8C2	480,1054
(C₁₂×F₅)⋊₉C₂ = C₃×D₁₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	120	4	(C12xF5):9C2	480,1052

Non-split extensions G=N.Q with N=C₁₂×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₂×F₅).₁C₂ = F₅×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	120	8-	(C12xF5).1C2	480,982
(C₁₂×F₅).₂C₂ = F₅×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	120	8	(C12xF5).2C2	480,223
(C₁₂×F₅).₃C₂ = C₃₀.₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	120	8	(C12xF5).3C2	480,225
(C₁₂×F₅).₄C₂ = C₃×Q₈×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	120	8	(C12xF5).4C2	480,1056
(C₁₂×F₅).₅C₂ = C₃×C₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×F₅	120	4	(C12xF5).5C2	480,272
(C₁₂×F₅).₆C₂ = F₅×C₂₄	φ: trivial image	120	4	(C12xF5).6C2	480,271

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