Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=D₇

Direct product G=N×Q with N=C₂×Dic₃ and Q=D₇

		d	ρ	Label	ID
C₂×Dic₃×D₇		168		C2xDic3xD7	336,151

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊₁D₇ = D₁₄⋊Dic₃	φ: D₇/C₇ → C₂ ⊆ Out C₂×Dic₃	168		(C2xDic3):1D7	336,42
(C₂×Dic₃)⋊₂D₇ = D₄₂⋊C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×Dic₃	168		(C2xDic3):2D7	336,44
(C₂×Dic₃)⋊₃D₇ = Dic₇.D₆	φ: D₇/C₇ → C₂ ⊆ Out C₂×Dic₃	168	4	(C2xDic3):3D7	336,152
(C₂×Dic₃)⋊₄D₇ = C₂×C₃⋊D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂×Dic₃	168		(C2xDic3):4D7	336,158
(C₂×Dic₃)⋊₅D₇ = C₂×D₂₁⋊C₄	φ: trivial image	168		(C2xDic3):5D7	336,156

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).₁D₇ = C₄₂.Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₂×Dic₃	336		(C2xDic3).1D7	336,45
(C₂×Dic₃).₂D₇ = Dic₂₁⋊C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×Dic₃	336		(C2xDic3).2D7	336,46
(C₂×Dic₃).₃D₇ = C₁₄.Dic₆	φ: D₇/C₇ → C₂ ⊆ Out C₂×Dic₃	336		(C2xDic3).3D7	336,47
(C₂×Dic₃).₄D₇ = C₂×C₂₁⋊Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₂×Dic₃	336		(C2xDic3).4D7	336,160
(C₂×Dic₃).₅D₇ = Dic₃×Dic₇	φ: trivial image	336		(C2xDic3).5D7	336,41

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