Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=C₃×S₃

Direct product G=N×Q with N=C₂×Dic₃ and Q=C₃×S₃

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

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊₁(C₃×S₃) = C₃×D₆⋊Dic₃	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3):1(C3xS3)	432,426
(C₂×Dic₃)⋊₂(C₃×S₃) = C₃×C₆.D₁₂	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3):2(C3xS3)	432,427
(C₂×Dic₃)⋊₃(C₃×S₃) = C₃×D₆.₃D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂×Dic₃	24	4	(C2xDic3):3(C3xS3)	432,652
(C₂×Dic₃)⋊₄(C₃×S₃) = C₆×C₃⋊D₁₂	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3):4(C3xS3)	432,656
(C₂×Dic₃)⋊₅(C₃×S₃) = C₆×C₆.D₆	φ: trivial image	48		(C2xDic3):5(C3xS3)	432,654

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).₁(C₃×S₃) = C₃×Dic₃⋊Dic₃	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).1(C3xS3)	432,428
(C₂×Dic₃).₂(C₃×S₃) = C₃×C₆².C₂²	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).2(C3xS3)	432,429
(C₂×Dic₃).₃(C₃×S₃) = C₆×C₃²⋊₂Q₈	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).3(C3xS3)	432,657
(C₂×Dic₃).₄(C₃×S₃) = C₃×Dic₃²	φ: trivial image	48		(C2xDic3).4(C3xS3)	432,425

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