Extensions 1→N→G→Q→1 with N=C₃×Dic₆ and Q=S₃

Direct product G=N×Q with N=C₃×Dic₆ and Q=S₃

		d	ρ	Label	ID
C₃×S₃×Dic₆		48	4	C3xS3xDic6	432,642

Semidirect products G=N:Q with N=C₃×Dic₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₆)⋊₁S₃ = C₃×Dic₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):1S3	432,420
(C₃×Dic₆)⋊₂S₃ = C₃³⋊₁₃SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	144		(C3xDic6):2S3	432,440
(C₃×Dic₆)⋊₃S₃ = C₃³⋊₁₅SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	72		(C3xDic6):3S3	432,442
(C₃×Dic₆)⋊₄S₃ = C₃×D₁₂⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):4S3	432,644
(C₃×Dic₆)⋊₅S₃ = C₃×Dic₃.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):5S3	432,645
(C₃×Dic₆)⋊₆S₃ = C₃⋊S₃×Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	144		(C3xDic6):6S3	432,663
(C₃×Dic₆)⋊₇S₃ = C₁₂.₃₉S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	72		(C3xDic6):7S3	432,664
(C₃×Dic₆)⋊₈S₃ = C₁₂.₄₀S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	72		(C3xDic6):8S3	432,665
(C₃×Dic₆)⋊₉S₃ = C₃²⋊₉(S₃×Q₈)	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	72		(C3xDic6):9S3	432,666
(C₃×Dic₆)⋊₁₀S₃ = C₃×C₃²⋊₅SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):10S3	432,422
(C₃×Dic₆)⋊₁₁S₃ = C₃×D₆.₆D₆	φ: trivial image	48	4	(C3xDic6):11S3	432,647

Non-split extensions G=N.Q with N=C₃×Dic₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₆).₁S₃ = Dic₆⋊D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	144	4	(C3xDic6).1S3	432,72
(C₃×Dic₆).₂S₃ = C₁₈.D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	72	4+	(C3xDic6).2S3	432,73
(C₃×Dic₆).₃S₃ = C₁₂.D₁₈	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	144	4	(C3xDic6).3S3	432,74
(C₃×Dic₆).₄S₃ = C₉⋊Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	144	4-	(C3xDic6).4S3	432,75
(C₃×Dic₆).₅S₃ = D₉×Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	144	4-	(C3xDic6).5S3	432,280
(C₃×Dic₆).₆S₃ = D₁₈.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	72	4	(C3xDic6).6S3	432,281
(C₃×Dic₆).₇S₃ = Dic₆⋊₅D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	72	4+	(C3xDic6).7S3	432,282
(C₃×Dic₆).₈S₃ = Dic₁₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	72	4	(C3xDic6).8S3	432,283
(C₃×Dic₆).₉S₃ = C₃×C₃²⋊₂Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6).9S3	432,423
(C₃×Dic₆).₁₀S₃ = C₃³⋊₆Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	144		(C3xDic6).10S3	432,445
(C₃×Dic₆).₁₁S₃ = C₃³⋊₇Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	144		(C3xDic6).11S3	432,446
(C₃×Dic₆).₁₂S₃ = C₃×C₃²⋊₃Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6).12S3	432,424

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