Extensions 1→N→G→Q→1 with N=C₃×Dic₇ and Q=C₄

Direct product G=N×Q with N=C₃×Dic₇ and Q=C₄

		d	ρ	Label	ID
C₁₂×Dic₇		336		C12xDic7	336,65

Semidirect products G=N:Q with N=C₃×Dic₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₇)⋊₁C₄ = Dic₃×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₇	336		(C3xDic7):1C4	336,41
(C₃×Dic₇)⋊₂C₄ = C₄₂.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₇	336		(C3xDic7):2C4	336,45
(C₃×Dic₇)⋊₃C₄ = C₃×Dic₇⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₇	336		(C3xDic7):3C4	336,66

Non-split extensions G=N.Q with N=C₃×Dic₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₇).₁C₄ = D₇×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₇	168	4	(C3xDic7).1C4	336,23
(C₃×Dic₇).₂C₄ = C₂₈.₃₂D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₇	168	4	(C3xDic7).2C4	336,26
(C₃×Dic₇).₃C₄ = C₃×C₈⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₇	168	2	(C3xDic7).3C4	336,59
(C₃×Dic₇).₄C₄ = D₇×C₂₄	φ: trivial image	168	2	(C3xDic7).4C4	336,58

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