Extensions 1→N→G→Q→1 with N=S₃xC₁₂ and Q=C₆

Direct product G=NxQ with N=S₃xC₁₂ and Q=C₆

		d	ρ	Label	ID
S₃xC₆xC₁₂		144		S3xC6xC12	432,701

Semidirect products G=N:Q with N=S₃xC₁₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₁₂):₁C₆ = C₃xD₆.D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12):1C6	432,646
(S₃xC₁₂):₂C₆ = C₃xD₁₂:₅S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12):2C6	432,643
(S₃xC₁₂):₃C₆ = C₃xD₆.₆D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12):3C6	432,647
(S₃xC₁₂):₄C₆ = C₃xS₃xD₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12):4C6	432,649
(S₃xC₁₂):₅C₆ = S₃xD₄xC₃²	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	72		(S3xC12):5C6	432,704
(S₃xC₁₂):₆C₆ = C₃²xD₄:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	72		(S3xC12):6C6	432,705
(S₃xC₁₂):₇C₆ = C₃²xQ₈:₃S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	144		(S3xC12):7C6	432,707
(S₃xC₁₂):₈C₆ = S₃²xC₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12):8C6	432,648
(S₃xC₁₂):₉C₆ = C₃²xC₄oD₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	72		(S3xC12):9C6	432,703

Non-split extensions G=N.Q with N=S₃xC₁₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₁₂).₁C₆ = C₃xD₆.Dic₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12).1C6	432,416
(S₃xC₁₂).₂C₆ = S₃xD₄xC₉	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	72	4	(S3xC12).2C6	432,358
(S₃xC₁₂).₃C₆ = C₉xD₄:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	72	4	(S3xC12).3C6	432,359
(S₃xC₁₂).₄C₆ = S₃xQ₈xC₉	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	144	4	(S3xC12).4C6	432,366
(S₃xC₁₂).₅C₆ = C₉xQ₈:₃S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	144	4	(S3xC12).5C6	432,367
(S₃xC₁₂).₆C₆ = C₃xS₃xDic₆	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12).6C6	432,642
(S₃xC₁₂).₇C₆ = S₃xQ₈xC₃²	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	144		(S3xC12).7C6	432,706
(S₃xC₁₂).₈C₆ = C₃xS₃xC₃:C₈	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	48	4	(S3xC12).8C6	432,414
(S₃xC₁₂).₉C₆ = C₉xC₈:S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	144	2	(S3xC12).9C6	432,110
(S₃xC₁₂).₁₀C₆ = C₉xC₄oD₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	72	2	(S3xC12).10C6	432,347
(S₃xC₁₂).₁₁C₆ = C₃²xC₈:S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₂	144		(S3xC12).11C6	432,465
(S₃xC₁₂).₁₂C₆ = S₃xC₇₂	φ: trivial image	144	2	(S3xC12).12C6	432,109
(S₃xC₁₂).₁₃C₆ = S₃xC₂xC₃₆	φ: trivial image	144		(S3xC12).13C6	432,345
(S₃xC₁₂).₁₄C₆ = S₃xC₃xC₂₄	φ: trivial image	144		(S3xC12).14C6	432,464

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