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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇)⋊₁S₃ = D₆⋊Dic₇	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₇	168		(C2xDic7):1S3	336,43
(C₂×Dic₇)⋊₂S₃ = D₄₂⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₇	168		(C2xDic7):2S3	336,44
(C₂×Dic₇)⋊₃S₃ = Dic₃.D₁₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₇	168	4	(C2xDic7):3S3	336,155
(C₂×Dic₇)⋊₄S₃ = C₂×C₇⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₇	168		(C2xDic7):4S3	336,159
(C₂×Dic₇)⋊₅S₃ = C₂×D₂₁⋊C₄	φ: trivial image	168		(C2xDic7):5S3	336,156

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇).₁S₃ = C₄₂.Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₇	336		(C2xDic7).1S3	336,45
(C₂×Dic₇).₂S₃ = Dic₂₁⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₇	336		(C2xDic7).2S3	336,46
(C₂×Dic₇).₃S₃ = C₁₄.Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₇	336		(C2xDic7).3S3	336,47
(C₂×Dic₇).₄S₃ = C₂×C₂₁⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₇	336		(C2xDic7).4S3	336,160
(C₂×Dic₇).₅S₃ = Dic₃×Dic₇	φ: trivial image	336		(C2xDic7).5S3	336,41

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