Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=F₅

Direct product G=N×Q with N=C₂²×S₃ and Q=F₅

		d	ρ	Label	ID
C₂²×S₃×F₅		60		C2^2xS3xF5	480,1197

Semidirect products G=N:Q with N=C₂²×S₃ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊F₅ = D₁₀.D₁₂	φ: F₅/C₅ → C₄ ⊆ Out C₂²×S₃	120	8-	(C2^2xS3):F5	480,248
(C₂²×S₃)⋊₂F₅ = C₂×D₆⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂²×S₃	120		(C2^2xS3):2F5	480,1000
(C₂²×S₃)⋊₃F₅ = S₃×C₂²⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂²×S₃	60	8+	(C2^2xS3):3F5	480,1011

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).F₅ = Dic₅.D₁₂	φ: F₅/C₅ → C₄ ⊆ Out C₂²×S₃	120	8+	(C2^2xS3).F5	480,250
(C₂²×S₃).₂F₅ = Dic₅.₂₂D₁₂	φ: F₅/D₅ → C₂ ⊆ Out C₂²×S₃	240		(C2^2xS3).2F5	480,246
(C₂²×S₃).₃F₅ = S₃×C₂².F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂²×S₃	120	8-	(C2^2xS3).3F5	480,1004
(C₂²×S₃).₄F₅ = C₂×D₆.F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂²×S₃	240		(C2^2xS3).4F5	480,1008
(C₂²×S₃).₅F₅ = C₂×S₃×C₅⋊C₈	φ: trivial image	240		(C2^2xS3).5F5	480,1002

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