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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₅)⋊₁C₄ = D₆.(C₄×D₅)	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	240		(S3xDic5):1C4	480,474
(S₃×Dic₅)⋊₂C₄ = S₃×C₁₀.D₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	240		(S3xDic5):2C4	480,475
(S₃×Dic₅)⋊₃C₄ = (S₃×Dic₅)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	240		(S3xDic5):3C4	480,476
(S₃×Dic₅)⋊₄C₄ = C₄⋊F₅⋊₃S₃	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8	(S3xDic5):4C4	480,983
(S₃×Dic₅)⋊₅C₄ = (C₄×S₃)⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8	(S3xDic5):5C4	480,985
(S₃×Dic₅)⋊₆C₄ = C₄×S₃×F₅	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	60	8	(S3xDic5):6C4	480,994
(S₃×Dic₅)⋊₇C₄ = S₃×C₄⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	60	8	(S3xDic5):7C4	480,996

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₅).₁C₄ = D₅×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	120	4	(S3xDic5).1C4	480,320
(S₃×Dic₅).₂C₄ = S₃×C₈⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	120	4	(S3xDic5).2C4	480,321
(S₃×Dic₅).₃C₄ = C₄₀⋊D₆	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	120	4	(S3xDic5).3C4	480,322
(S₃×Dic₅).₄C₄ = C₂×S₃×C₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	240		(S3xDic5).4C4	480,1002
(S₃×Dic₅).₅C₄ = S₃×C₂².F₅	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	120	8-	(S3xDic5).5C4	480,1004
(S₃×Dic₅).₆C₄ = C₂×D₆.F₅	φ: C₄/C₂ → C₂ ⊆ Out S₃×Dic₅	240		(S3xDic5).6C4	480,1008
(S₃×Dic₅).₇C₄ = S₃×C₈×D₅	φ: trivial image	120	4	(S3xDic5).7C4	480,319

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