Extensions 1→N→G→Q→1 with N=C₂xDic₃ and Q=F₅

Direct product G=NxQ with N=C₂xDic₃ and Q=F₅

		d	ρ	Label	ID
C₂xDic₃xF₅		120		C2xDic3xF5	480,998

Semidirect products G=N:Q with N=C₂xDic₃ and Q=F₅

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

Non-split extensions G=N.Q with N=C₂xDic₃ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₃).F₅ = Dic₅.₄D₁₂	φ: F₅/C₅ → C₄ ⊆ Out C₂xDic₃	240	8-	(C2xDic3).F5	480,251
(C₂xDic₃).₂F₅ = C₃₀.M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₂xDic₃	480		(C2xDic3).2F5	480,245
(C₂xDic₃).₃F₅ = D₃₀:C₈	φ: F₅/D₅ → C₂ ⊆ Out C₂xDic₃	240		(C2xDic3).3F5	480,247
(C₂xDic₃).₄F₅ = C₃₀.₄M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₂xDic₃	480		(C2xDic3).4F5	480,252
(C₂xDic₃).₅F₅ = Dic₁₅:C₈	φ: F₅/D₅ → C₂ ⊆ Out C₂xDic₃	480		(C2xDic3).5F5	480,253
(C₂xDic₃).₆F₅ = D₁₅:₂M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₂xDic₃	120	8+	(C2xDic3).6F5	480,1007
(C₂xDic₃).₇F₅ = C₂xDic₃.F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂xDic₃	240		(C2xDic3).7F5	480,1009
(C₂xDic₃).₈F₅ = Dic₃xC₅:C₈	φ: trivial image	480		(C2xDic3).8F5	480,244
(C₂xDic₃).₉F₅ = C₂xD₁₅:C₈	φ: trivial image	240		(C2xDic3).9F5	480,1006

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