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

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

		d	ρ	Label	ID
C₂×S₃×Dic₃		48		C2xS3xDic3	144,146

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊₁S₃ = D₆⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3):1S3	144,64
(C₂×Dic₃)⋊₂S₃ = C₆.D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₃	24		(C2xDic3):2S3	144,65
(C₂×Dic₃)⋊₃S₃ = D₆.₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₃	24	4	(C2xDic3):3S3	144,147
(C₂×Dic₃)⋊₄S₃ = C₂×C₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₃	24		(C2xDic3):4S3	144,151
(C₂×Dic₃)⋊₅S₃ = C₂×C₆.D₆	φ: trivial image	24		(C2xDic3):5S3	144,149

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).₁S₃ = Dic₃⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).1S3	144,66
(C₂×Dic₃).₂S₃ = C₆².C₂²	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).2S3	144,67
(C₂×Dic₃).₃S₃ = C₂×C₃²⋊₂Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).3S3	144,152
(C₂×Dic₃).₄S₃ = Dic₃²	φ: trivial image	48		(C2xDic3).4S3	144,63

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