Extensions 1→N→G→Q→1 with N=S₃xDic₆ and Q=C₂

Direct product G=NxQ with N=S₃xDic₆ and Q=C₂

		d	ρ	Label	ID
C₂xS₃xDic₆		96		C2xS3xDic6	288,942

Semidirect products G=N:Q with N=S₃xDic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xDic₆):₁C₂ = S₃xC₂₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	48	4	(S3xDic6):1C2	288,440
(S₃xDic₆):₂C₂ = C₂₄.₃D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	96	4-	(S3xDic6):2C2	288,448
(S₃xDic₆):₃C₂ = Dic₁₂:S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	48	4	(S3xDic6):3C2	288,449
(S₃xDic₆):₄C₂ = S₃xD₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	48	8-	(S3xDic6):4C2	288,576
(S₃xDic₆):₅C₂ = Dic₆.₁₉D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	48	8-	(S3xDic6):5C2	288,577
(S₃xDic₆):₆C₂ = D₁₂.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	96	8-	(S3xDic6):6C2	288,591
(S₃xDic₆):₇C₂ = D₁₂.₃₃D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	48	4	(S3xDic6):7C2	288,945
(S₃xDic₆):₈C₂ = D₁₂.₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	48	4-	(S3xDic6):8C2	288,946
(S₃xDic₆):₉C₂ = Dic₆.₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	48	8-	(S3xDic6):9C2	288,957
(S₃xDic₆):₁₀C₂ = S₃xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	48	8-	(S3xDic6):10C2	288,959
(S₃xDic₆):₁₁C₂ = D₁₂.₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	48	8-	(S3xDic6):11C2	288,963
(S₃xDic₆):₁₂C₂ = S₃²xQ₈	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	48	8-	(S3xDic6):12C2	288,965
(S₃xDic₆):₁₃C₂ = S₃xC₄oD₁₂	φ: trivial image	48	4	(S3xDic6):13C2	288,953

Non-split extensions G=N.Q with N=S₃xDic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xDic₆).₁C₂ = S₃xDic₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	96	4-	(S3xDic6).1C2	288,447
(S₃xDic₆).₂C₂ = S₃xC₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xDic₆	96	8-	(S3xDic6).2C2	288,590

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