Extensions 1→N→G→Q→1 with N=S₃×C₁₂ and Q=C₂

Direct product G=N×Q with N=S₃×C₁₂ and Q=C₂

		d	ρ	Label	ID
S₃×C₂×C₁₂		48		S3xC2xC12	144,159

Semidirect products G=N:Q with N=S₃×C₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₂)⋊₁C₂ = D₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	24	4	(S3xC12):1C2	144,141
(S₃×C₁₂)⋊₂C₂ = D₁₂⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	48	4-	(S3xC12):2C2	144,138
(S₃×C₁₂)⋊₃C₂ = D₆.₆D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	24	4+	(S3xC12):3C2	144,142
(S₃×C₁₂)⋊₄C₂ = S₃×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	24	4+	(S3xC12):4C2	144,144
(S₃×C₁₂)⋊₅C₂ = C₃×S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	24	4	(S3xC12):5C2	144,162
(S₃×C₁₂)⋊₆C₂ = C₃×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	24	4	(S3xC12):6C2	144,163
(S₃×C₁₂)⋊₇C₂ = C₃×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	48	4	(S3xC12):7C2	144,165
(S₃×C₁₂)⋊₈C₂ = C₄×S₃²	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	24	4	(S3xC12):8C2	144,143
(S₃×C₁₂)⋊₉C₂ = C₃×C₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	24	2	(S3xC12):9C2	144,161

Non-split extensions G=N.Q with N=S₃×C₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₂).₁C₂ = D₆.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	48	4	(S3xC12).1C2	144,54
(S₃×C₁₂).₂C₂ = S₃×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	48	4-	(S3xC12).2C2	144,137
(S₃×C₁₂).₃C₂ = C₃×S₃×Q₈	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	48	4	(S3xC12).3C2	144,164
(S₃×C₁₂).₄C₂ = S₃×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	48	4	(S3xC12).4C2	144,52
(S₃×C₁₂).₅C₂ = C₃×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₂	48	2	(S3xC12).5C2	144,70
(S₃×C₁₂).₆C₂ = S₃×C₂₄	φ: trivial image	48	2	(S3xC12).6C2	144,69

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