Extensions 1→N→G→Q→1 with N=C₇×Dic₇ and Q=C₂

Direct product G=N×Q with N=C₇×Dic₇ and Q=C₂

		d	ρ	Label	ID
C₁₄×Dic₇		56		C14xDic7	392,26

Semidirect products G=N:Q with N=C₇×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Dic₇)⋊₁C₂ = C₇⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₇	28	4+	(C7xDic7):1C2	392,21
(C₇×Dic₇)⋊₂C₂ = D₇×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₇	56	4-	(C7xDic7):2C2	392,18
(C₇×Dic₇)⋊₃C₂ = Dic₇⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₇	28	4+	(C7xDic7):3C2	392,19
(C₇×Dic₇)⋊₄C₂ = C₇×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₇	28	2	(C7xDic7):4C2	392,27
(C₇×Dic₇)⋊₅C₂ = D₇×C₂₈	φ: trivial image	56	2	(C7xDic7):5C2	392,24

Non-split extensions G=N.Q with N=C₇×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Dic₇).₁C₂ = C₇²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₇	56	4-	(C7xDic7).1C2	392,22
(C₇×Dic₇).₂C₂ = C₇×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₇	56	2	(C7xDic7).2C2	392,23

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