Extensions 1→N→G→Q→1 with N=C₇×Dic₃ and Q=C₄

Direct product G=N×Q with N=C₇×Dic₃ and Q=C₄

		d	ρ	Label	ID
Dic₃×C₂₈		336		Dic3xC28	336,81

Semidirect products G=N:Q with N=C₇×Dic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Dic₃)⋊₁C₄ = Dic₃×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×Dic₃	336		(C7xDic3):1C4	336,41
(C₇×Dic₃)⋊₂C₄ = C₁₄.Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₇×Dic₃	336		(C7xDic3):2C4	336,47
(C₇×Dic₃)⋊₃C₄ = C₇×Dic₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×Dic₃	336		(C7xDic3):3C4	336,82

Non-split extensions G=N.Q with N=C₇×Dic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Dic₃).₁C₄ = S₃×C₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₇×Dic₃	168	4	(C7xDic3).1C4	336,24
(C₇×Dic₃).₂C₄ = D₆.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×Dic₃	168	4	(C7xDic3).2C4	336,27
(C₇×Dic₃).₃C₄ = C₇×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₇×Dic₃	168	2	(C7xDic3).3C4	336,75
(C₇×Dic₃).₄C₄ = S₃×C₅₆	φ: trivial image	168	2	(C7xDic3).4C4	336,74

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