Extensions 1→N→G→Q→1 with N=C₃×Dic₅ and Q=S₃

Direct product G=N×Q with N=C₃×Dic₅ and Q=S₃

		d	ρ	Label	ID
C₃×S₃×Dic₅		120	4	C3xS3xDic5	360,59

Semidirect products G=N:Q with N=C₃×Dic₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₅)⋊₁S₃ = C₃⋊S₃×Dic₅	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	180		(C3xDic5):1S3	360,66
(C₃×Dic₅)⋊₂S₃ = C₃₀.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	180		(C3xDic5):2S3	360,67
(C₃×Dic₅)⋊₃S₃ = C₁₅⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	180		(C3xDic5):3S3	360,70
(C₃×Dic₅)⋊₄S₃ = C₃×C₅⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5):4S3	360,63
(C₃×Dic₅)⋊₅S₃ = C₃×D₃₀.C₂	φ: trivial image	120	4	(C3xDic5):5S3	360,60

Non-split extensions G=N.Q with N=C₃×Dic₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₅).₁S₃ = C₄₅⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	360	4-	(C3xDic5).1S3	360,7
(C₃×Dic₅).₂S₃ = D₉×Dic₅	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	180	4-	(C3xDic5).2S3	360,8
(C₃×Dic₅).₃S₃ = D₉₀.C₂	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	180	4+	(C3xDic5).3S3	360,9
(C₃×Dic₅).₄S₃ = C₅⋊D₃₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	180	4+	(C3xDic5).4S3	360,10
(C₃×Dic₅).₅S₃ = C₁₅⋊Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	360		(C3xDic5).5S3	360,71
(C₃×Dic₅).₆S₃ = C₃×C₁₅⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).6S3	360,64
(C₃×Dic₅).₇S₃ = C₄₅⋊C₈	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	360	4	(C3xDic5).7S3	360,6
(C₃×Dic₅).₈S₃ = C₃₀.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	360		(C3xDic5).8S3	360,54
(C₃×Dic₅).₉S₃ = C₃×C₁₅⋊C₈	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).9S3	360,53

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