Extensions 1→N→G→Q→1 with N=S₃×Dic₆ and Q=C₂

Direct product G=N×Q with N=S₃×Dic₆ and Q=C₂

		d	ρ	Label	ID
C₂×S₃×Dic₆		96		C2xS3xDic6	288,942

Semidirect products G=N:Q with N=S₃×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₆)⋊₁C₂ = S₃×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	48	4	(S3xDic6):1C2	288,440
(S₃×Dic₆)⋊₂C₂ = C₂₄.₃D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	96	4-	(S3xDic6):2C2	288,448
(S₃×Dic₆)⋊₃C₂ = Dic₁₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	48	4	(S3xDic6):3C2	288,449
(S₃×Dic₆)⋊₄C₂ = S₃×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	48	8-	(S3xDic6):4C2	288,576
(S₃×Dic₆)⋊₅C₂ = Dic₆.₁₉D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	48	8-	(S3xDic6):5C2	288,577
(S₃×Dic₆)⋊₆C₂ = D₁₂.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	96	8-	(S3xDic6):6C2	288,591
(S₃×Dic₆)⋊₇C₂ = D₁₂.₃₃D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	48	4	(S3xDic6):7C2	288,945
(S₃×Dic₆)⋊₈C₂ = D₁₂.₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	48	4-	(S3xDic6):8C2	288,946
(S₃×Dic₆)⋊₉C₂ = Dic₆.₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	48	8-	(S3xDic6):9C2	288,957
(S₃×Dic₆)⋊₁₀C₂ = S₃×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	48	8-	(S3xDic6):10C2	288,959
(S₃×Dic₆)⋊₁₁C₂ = D₁₂.₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	48	8-	(S3xDic6):11C2	288,963
(S₃×Dic₆)⋊₁₂C₂ = S₃²×Q₈	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	48	8-	(S3xDic6):12C2	288,965
(S₃×Dic₆)⋊₁₃C₂ = S₃×C₄○D₁₂	φ: trivial image	48	4	(S3xDic6):13C2	288,953

Non-split extensions G=N.Q with N=S₃×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₆).₁C₂ = S₃×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	96	4-	(S3xDic6).1C2	288,447
(S₃×Dic₆).₂C₂ = S₃×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₆	96	8-	(S3xDic6).2C2	288,590

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁