Extensions 1→N→G→Q→1 with N=C₃×Dic₇ and Q=C₂

Direct product G=N×Q with N=C₃×Dic₇ and Q=C₂

		d	ρ	Label	ID
C₆×Dic₇		168		C6xDic7	168,27

Semidirect products G=N:Q with N=C₃×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₇)⋊₁C₂ = S₃×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₇	84	4-	(C3xDic7):1C2	168,13
(C₃×Dic₇)⋊₂C₂ = D₂₁⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₇	84	4+	(C3xDic7):2C2	168,14
(C₃×Dic₇)⋊₃C₂ = C₇⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₇	84	4+	(C3xDic7):3C2	168,17
(C₃×Dic₇)⋊₄C₂ = C₃×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₇	84	2	(C3xDic7):4C2	168,28
(C₃×Dic₇)⋊₅C₂ = C₁₂×D₇	φ: trivial image	84	2	(C3xDic7):5C2	168,25

Non-split extensions G=N.Q with N=C₃×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₇).₁C₂ = C₂₁⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₇	168	4-	(C3xDic7).1C2	168,18
(C₃×Dic₇).₂C₂ = C₃×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₇	168	2	(C3xDic7).2C2	168,24

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