Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=F₅

Direct product G=N×Q with N=C₂×Dic₃ and Q=F₅

		d	ρ	Label	ID
C₂×Dic₃×F₅		120		C2xDic3xF5	480,998

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊F₅ = D₁₀.₄D₁₂	φ: F₅/C₅ → C₄ ⊆ Out C₂×Dic₃	120	8+	(C2xDic3):F5	480,249
(C₂×Dic₃)⋊₂F₅ = D₁₀.₂₀D₁₂	φ: F₅/D₅ → C₂ ⊆ Out C₂×Dic₃	120		(C2xDic3):2F5	480,243
(C₂×Dic₃)⋊₃F₅ = C₂²⋊F₅.S₃	φ: F₅/D₅ → C₂ ⊆ Out C₂×Dic₃	120	8-	(C2xDic3):3F5	480,999
(C₂×Dic₃)⋊₄F₅ = C₂×Dic₃⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×Dic₃	120		(C2xDic3):4F5	480,1001

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).F₅ = Dic₅.₄D₁₂	φ: F₅/C₅ → C₄ ⊆ Out C₂×Dic₃	240	8-	(C2xDic3).F5	480,251
(C₂×Dic₃).₂F₅ = C₃₀.M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₂×Dic₃	480		(C2xDic3).2F5	480,245
(C₂×Dic₃).₃F₅ = D₃₀⋊C₈	φ: F₅/D₅ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).3F5	480,247
(C₂×Dic₃).₄F₅ = C₃₀.₄M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₂×Dic₃	480		(C2xDic3).4F5	480,252
(C₂×Dic₃).₅F₅ = Dic₁₅⋊C₈	φ: F₅/D₅ → C₂ ⊆ Out C₂×Dic₃	480		(C2xDic3).5F5	480,253
(C₂×Dic₃).₆F₅ = D₁₅⋊₂M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₂×Dic₃	120	8+	(C2xDic3).6F5	480,1007
(C₂×Dic₃).₇F₅ = C₂×Dic₃.F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).7F5	480,1009
(C₂×Dic₃).₈F₅ = Dic₃×C₅⋊C₈	φ: trivial image	480		(C2xDic3).8F5	480,244
(C₂×Dic₃).₉F₅ = C₂×D₁₅⋊C₈	φ: trivial image	240		(C2xDic3).9F5	480,1006

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