Extensions 1→N→G→Q→1 with N=S₃×Dic₃ and Q=C₆

Direct product G=N×Q with N=S₃×Dic₃ and Q=C₆

		d	ρ	Label	ID
S₃×C₆×Dic₃		48		S3xC6xDic3	432,651

Semidirect products G=N:Q with N=S₃×Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₃)⋊₁C₆ = C₃×D₁₂⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃×Dic₃	48	4	(S3xDic3):1C6	432,644
(S₃×Dic₃)⋊₂C₆ = C₃×D₆.₄D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×Dic₃	24	4	(S3xDic3):2C6	432,653
(S₃×Dic₃)⋊₃C₆ = C₃×S₃×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃×Dic₃	24	4	(S3xDic3):3C6	432,658
(S₃×Dic₃)⋊₄C₆ = C₃×D₁₂⋊₅S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃×Dic₃	48	4	(S3xDic3):4C6	432,643
(S₃×Dic₃)⋊₅C₆ = C₃×D₆.₃D₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×Dic₃	24	4	(S3xDic3):5C6	432,652
(S₃×Dic₃)⋊₆C₆ = S₃²×C₁₂	φ: trivial image	48	4	(S3xDic3):6C6	432,648

Non-split extensions G=N.Q with N=S₃×Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₃).C₆ = C₃×S₃×Dic₆	φ: C₆/C₃ → C₂ ⊆ Out S₃×Dic₃	48	4	(S3xDic3).C6	432,642

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