Extensions 1→N→G→Q→1 with N=S₃²xC₆ and Q=C₂

Direct product G=NxQ with N=S₃²xC₆ and Q=C₂

		d	ρ	Label	ID
S₃²xC₂xC₆		48		S3^2xC2xC6	432,767

Semidirect products G=N:Q with N=S₃²xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃²xC₆):₁C₂ = S₃xD₆:S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	48	8-	(S3^2xC6):1C2	432,597
(S₃²xC₆):₂C₂ = S₃xC₃:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	24	8+	(S3^2xC6):2C2	432,598
(S₃²xC₆):₃C₂ = D₆:₄S₃²	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	24	8+	(S3^2xC6):3C2	432,599
(S₃²xC₆):₄C₂ = D₆:S₃²	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	48	8-	(S3^2xC6):4C2	432,600
(S₃²xC₆):₅C₂ = C₃xS₃xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	48	4	(S3^2xC6):5C2	432,649
(S₃²xC₆):₆C₂ = C₃xD₆:D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	48	4	(S3^2xC6):6C2	432,650
(S₃²xC₆):₇C₂ = C₃xS₃xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	24	4	(S3^2xC6):7C2	432,658
(S₃²xC₆):₈C₂ = C₃xDic₃:D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	24	4	(S3^2xC6):8C2	432,659
(S₃²xC₆):₉C₂ = C₆xS₃wrC₂	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	24	4	(S3^2xC6):9C2	432,754
(S₃²xC₆):₁₀C₂ = C₂xC₃³:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	24	4	(S3^2xC6):10C2	432,755
(S₃²xC₆):₁₁C₂ = C₂xS₃³	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	24	8+	(S3^2xC6):11C2	432,759

Non-split extensions G=N.Q with N=S₃²xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃²xC₆).₁C₂ = C₃xS₃²:C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	24	4	(S3^2xC6).1C2	432,574
(S₃²xC₆).₂C₂ = S₃²:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	24	4	(S3^2xC6).2C2	432,580
(S₃²xC₆).₃C₂ = S₃²xDic₃	φ: C₂/C₁ → C₂ ⊆ Out S₃²xC₆	48	8-	(S3^2xC6).3C2	432,594
(S₃²xC₆).₄C₂ = S₃²xC₁₂	φ: trivial image	48	4	(S3^2xC6).4C2	432,648

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