Extensions 1→N→G→Q→1 with N=S₃×C₆ and Q=C₁₂

Direct product G=N×Q with N=S₃×C₆ and Q=C₁₂

		d	ρ	Label	ID
S₃×C₆×C₁₂		144		S3xC6xC12	432,701

Semidirect products G=N:Q with N=S₃×C₆ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆)⋊₁C₁₂ = C₃×D₆⋊Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out S₃×C₆	48		(S3xC6):1C12	432,426
(S₃×C₆)⋊₂C₁₂ = C₃²×D₆⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out S₃×C₆	144		(S3xC6):2C12	432,474
(S₃×C₆)⋊₃C₁₂ = S₃×C₆×Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out S₃×C₆	48		(S3xC6):3C12	432,651

Non-split extensions G=N.Q with N=S₃×C₆ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆).₁C₁₂ = C₉×C₈⋊S₃	φ: C₁₂/C₆ → C₂ ⊆ Out S₃×C₆	144	2	(S3xC6).1C12	432,110
(S₃×C₆).₂C₁₂ = C₉×D₆⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out S₃×C₆	144		(S3xC6).2C12	432,135
(S₃×C₆).₃C₁₂ = C₃×S₃×C₃⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Out S₃×C₆	48	4	(S3xC6).3C12	432,414
(S₃×C₆).₄C₁₂ = C₃×D₆.Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out S₃×C₆	48	4	(S3xC6).4C12	432,416
(S₃×C₆).₅C₁₂ = C₃²×C₈⋊S₃	φ: C₁₂/C₆ → C₂ ⊆ Out S₃×C₆	144		(S3xC6).5C12	432,465
(S₃×C₆).₆C₁₂ = S₃×C₇₂	φ: trivial image	144	2	(S3xC6).6C12	432,109
(S₃×C₆).₇C₁₂ = S₃×C₂×C₃₆	φ: trivial image	144		(S3xC6).7C12	432,345
(S₃×C₆).₈C₁₂ = S₃×C₃×C₂₄	φ: trivial image	144		(S3xC6).8C12	432,464

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