Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=Dic₅

Direct product G=N×Q with N=C₂²×S₃ and Q=Dic₅

		d	ρ	Label	ID
C₂²×S₃×Dic₅		240		C2^2xS3xDic5	480,1115

Semidirect products G=N:Q with N=C₂²×S₃ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊Dic₅ = C₁₅⋊₈(C₂³⋊C₄)	φ: Dic₅/C₅ → C₄ ⊆ Out C₂²×S₃	120	4	(C2^2xS3):Dic5	480,72
(C₂²×S₃)⋊₂Dic₅ = C₂×D₆⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²×S₃	240		(C2^2xS3):2Dic5	480,614
(C₂²×S₃)⋊₃Dic₅ = S₃×C₂³.D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²×S₃	120		(C2^2xS3):3Dic5	480,630

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).Dic₅ = C₂₀.₅D₁₂	φ: Dic₅/C₅ → C₄ ⊆ Out C₂²×S₃	120	4	(C2^2xS3).Dic5	480,35
(C₂²×S₃).₂Dic₅ = C₆₀.₉₄D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²×S₃	240		(C2^2xS3).2Dic5	480,32
(C₂²×S₃).₃Dic₅ = S₃×C₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²×S₃	120	4	(C2^2xS3).3Dic5	480,363
(C₂²×S₃).₄Dic₅ = C₂×D₆.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂²×S₃	240		(C2^2xS3).4Dic5	480,370
(C₂²×S₃).₅Dic₅ = C₂×S₃×C₅⋊₂C₈	φ: trivial image	240		(C2^2xS3).5Dic5	480,361

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