Extensions 1→N→G→Q→1 with N=C₇×Dic₃ and Q=C₂

Direct product G=N×Q with N=C₇×Dic₃ and Q=C₂

		d	ρ	Label	ID
Dic₃×C₁₄		168		Dic3xC14	168,32

Semidirect products G=N:Q with N=C₇×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Dic₃)⋊₁C₂ = Dic₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₃	84	4-	(C7xDic3):1C2	168,12
(C₇×Dic₃)⋊₂C₂ = D₂₁⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₃	84	4+	(C7xDic3):2C2	168,14
(C₇×Dic₃)⋊₃C₂ = C₃⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₃	84	4+	(C7xDic3):3C2	168,16
(C₇×Dic₃)⋊₄C₂ = C₇×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₃	84	2	(C7xDic3):4C2	168,33
(C₇×Dic₃)⋊₅C₂ = S₃×C₂₈	φ: trivial image	84	2	(C7xDic3):5C2	168,30

Non-split extensions G=N.Q with N=C₇×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Dic₃).₁C₂ = C₂₁⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₃	168	4-	(C7xDic3).1C2	168,18
(C₇×Dic₃).₂C₂ = C₇×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₃	168	2	(C7xDic3).2C2	168,29

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