Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=Dic₅

Direct product G=N×Q with N=C₄×S₃ and Q=Dic₅

		d	ρ	Label	ID
C₄×S₃×Dic₅		240		C4xS3xDic5	480,473

Semidirect products G=N:Q with N=C₄×S₃ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁Dic₅ = (S₃×C₂₀)⋊₅C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3):1Dic5	480,414
(C₄×S₃)⋊₂Dic₅ = S₃×C₄⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3):2Dic5	480,502
(C₄×S₃)⋊₃Dic₅ = (S₃×C₂₀)⋊₇C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3):3Dic5	480,447

Non-split extensions G=N.Q with N=C₄×S₃ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁Dic₅ = S₃×C₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3).1Dic5	480,363
(C₄×S₃).₂Dic₅ = C₄₀.₅₂D₆	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄×S₃	240	4	(C4xS3).2Dic5	480,11
(C₄×S₃).₃Dic₅ = C₂×D₆.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3).3Dic5	480,370
(C₄×S₃).₄Dic₅ = S₃×C₅⋊₂C₁₆	φ: trivial image	240	4	(C4xS3).4Dic5	480,8
(C₄×S₃).₅Dic₅ = C₂×S₃×C₅⋊₂C₈	φ: trivial image	240		(C4xS3).5Dic5	480,361

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