Extensions 1→N→G→Q→1 with N=C₇xDic₆ and Q=C₂

Direct product G=NxQ with N=C₇xDic₆ and Q=C₂

		d	ρ	Label	ID
C₁₄xDic₆		336		C14xDic6	336,184

Semidirect products G=N:Q with N=C₇xDic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xDic₆):₁C₂ = Dic₆:D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	168	4+	(C7xDic6):1C2	336,37
(C₇xDic₆):₂C₂ = D₇xDic₆	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	168	4-	(C7xDic6):2C2	336,137
(C₇xDic₆):₃C₂ = D₁₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	168	4+	(C7xDic6):3C2	336,146
(C₇xDic₆):₄C₂ = C₂₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	168	4	(C7xDic6):4C2	336,32
(C₇xDic₆):₅C₂ = D₂₈:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	168	4	(C7xDic6):5C2	336,139
(C₇xDic₆):₆C₂ = D₂₁:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	168	4	(C7xDic6):6C2	336,143
(C₇xDic₆):₇C₂ = C₇xC₂₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	168	2	(C7xDic6):7C2	336,76
(C₇xDic₆):₈C₂ = C₇xD₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	168	4	(C7xDic6):8C2	336,86
(C₇xDic₆):₉C₂ = C₇xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	168	4	(C7xDic6):9C2	336,189
(C₇xDic₆):₁₀C₂ = S₃xC₇xQ₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	168	4	(C7xDic6):10C2	336,190
(C₇xDic₆):₁₁C₂ = C₇xC₄oD₁₂	φ: trivial image	168	2	(C7xDic6):11C2	336,187

Non-split extensions G=N.Q with N=C₇xDic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xDic₆).₁C₂ = C₇:Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	336	4-	(C7xDic6).1C2	336,40
(C₇xDic₆).₂C₂ = C₂₁:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	336	4	(C7xDic6).2C2	336,38
(C₇xDic₆).₃C₂ = C₇xDic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	336	2	(C7xDic6).3C2	336,78
(C₇xDic₆).₄C₂ = C₇xC₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₆	336	4	(C7xDic6).4C2	336,88

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