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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₅)⋊₁S₃ = C₆₀.₉₉D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	120	4	(C4xDic5):1S3	480,55
(C₄×Dic₅)⋊₂S₃ = D₆₀⋊₁₆C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	120	4	(C4xDic5):2S3	480,57
(C₄×Dic₅)⋊₃S₃ = C₆₀.₆₉D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):3S3	480,449
(C₄×Dic₅)⋊₄S₃ = C₆₀.₇₀D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):4S3	480,451
(C₄×Dic₅)⋊₅S₃ = Dic₅×D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):5S3	480,491
(C₄×Dic₅)⋊₆S₃ = D₆₀⋊₁₇C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):6S3	480,494
(C₄×Dic₅)⋊₇S₃ = C₂₀⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):7S3	480,527
(C₄×Dic₅)⋊₈S₃ = Dic₅.₈D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):8S3	480,426
(C₄×Dic₅)⋊₉S₃ = (S₃×C₂₀)⋊₇C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):9S3	480,447
(C₄×Dic₅)⋊₁₀S₃ = C₅⋊(C₄²⋊₃S₃)	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):10S3	480,448
(C₄×Dic₅)⋊₁₁S₃ = (C₄×D₁₅)⋊₁₀C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):11S3	480,462
(C₄×Dic₅)⋊₁₂S₃ = (C₄×Dic₅)⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):12S3	480,463
(C₄×Dic₅)⋊₁₃S₃ = D₆.(C₄×D₅)	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):13S3	480,474
(C₄×Dic₅)⋊₁₄S₃ = D₃₀.C₂⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):14S3	480,478
(C₄×Dic₅)⋊₁₅S₃ = Dic₅⋊₄D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):15S3	480,481
(C₄×Dic₅)⋊₁₆S₃ = C₄×C₅⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	240		(C4xDic5):16S3	480,521
(C₄×Dic₅)⋊₁₇S₃ = C₄×D₃₀.C₂	φ: trivial image	240		(C4xDic5):17S3	480,477

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₅).₁S₃ = Dic₅×Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).1S3	480,408
(C₄×Dic₅).₂S₃ = Dic₃₀⋊₁₇C₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).2S3	480,409
(C₄×Dic₅).₃S₃ = Dic₅⋊Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).3S3	480,452
(C₄×Dic₅).₄S₃ = C₂₀.Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).4S3	480,464
(C₄×Dic₅).₅S₃ = C₆₀⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).5S3	480,544
(C₄×Dic₅).₆S₃ = C₃₀.₂₁C₄²	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).6S3	480,28
(C₄×Dic₅).₇S₃ = C₆₀.₁₃Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).7S3	480,58
(C₄×Dic₅).₈S₃ = C₃₀.₁₁C₄²	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).8S3	480,307
(C₄×Dic₅).₉S₃ = Dic₅.₁₃D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).9S3	480,309
(C₄×Dic₅).₁₀S₃ = Dic₅⋊₅Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).10S3	480,399
(C₄×Dic₅).₁₁S₃ = Dic₅.₇Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).11S3	480,454
(C₄×Dic₅).₁₂S₃ = C₄×C₁₅⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).12S3	480,543
(C₄×Dic₅).₁₃S₃ = C₆₀⋊C₈	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).13S3	480,306
(C₄×Dic₅).₁₄S₃ = C₄×C₁₅⋊C₈	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₅	480		(C4xDic5).14S3	480,305
(C₄×Dic₅).₁₅S₃ = Dic₅×C₃⋊C₈	φ: trivial image	480		(C4xDic5).15S3	480,25

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