Extensions 1→N→G→Q→1 with N=S₃×Dic₇ and Q=C₂

Direct product G=N×Q with N=S₃×Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂×S₃×Dic₇		168		C2xS3xDic7	336,154

Semidirect products G=N:Q with N=S₃×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₇)⋊₁C₂ = D₁₂⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₇	168	4	(S3xDic7):1C2	336,141
(S₃×Dic₇)⋊₂C₂ = D₁₂⋊₅D₇	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₇	168	4-	(S3xDic7):2C2	336,145
(S₃×Dic₇)⋊₃C₂ = C₄₂.C₂³	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₇	168	4-	(S3xDic7):3C2	336,153
(S₃×Dic₇)⋊₄C₂ = Dic₃.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₇	168	4	(S3xDic7):4C2	336,155
(S₃×Dic₇)⋊₅C₂ = S₃×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₇	84	4	(S3xDic7):5C2	336,162
(S₃×Dic₇)⋊₆C₂ = C₄×S₃×D₇	φ: trivial image	84	4	(S3xDic7):6C2	336,147

Non-split extensions G=N.Q with N=S₃×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₇).C₂ = S₃×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₇	168	4-	(S3xDic7).C2	336,140

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