Extensions 1→N→G→Q→1 with N=C₇xDic₃ and Q=C₄

Direct product G=NxQ with N=C₇xDic₃ and Q=C₄

		d	ρ	Label	ID
Dic₃xC₂₈		336		Dic3xC28	336,81

Semidirect products G=N:Q with N=C₇xDic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xDic₃):₁C₄ = Dic₃xDic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇xDic₃	336		(C7xDic3):1C4	336,41
(C₇xDic₃):₂C₄ = C₁₄.Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₇xDic₃	336		(C7xDic3):2C4	336,47
(C₇xDic₃):₃C₄ = C₇xDic₃:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇xDic₃	336		(C7xDic3):3C4	336,82

Non-split extensions G=N.Q with N=C₇xDic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xDic₃).₁C₄ = S₃xC₇:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₇xDic₃	168	4	(C7xDic3).1C4	336,24
(C₇xDic₃).₂C₄ = D₆.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇xDic₃	168	4	(C7xDic3).2C4	336,27
(C₇xDic₃).₃C₄ = C₇xC₈:S₃	φ: C₄/C₂ → C₂ ⊆ Out C₇xDic₃	168	2	(C7xDic3).3C4	336,75
(C₇xDic₃).₄C₄ = S₃xC₅₆	φ: trivial image	168	2	(C7xDic3).4C4	336,74

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