Extensions 1→N→G→Q→1 with N=C₁₂xD₇ and Q=C₂

Direct product G=NxQ with N=C₁₂xD₇ and Q=C₂

		d	ρ	Label	ID
D₇xC₂xC₁₂		168		D7xC2xC12	336,175

Semidirect products G=N:Q with N=C₁₂xD₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₂xD₇):₁C₂ = D₁₂:₅D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	168	4-	(C12xD7):1C2	336,145
(C₁₂xD₇):₂C₂ = D₁₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	168	4+	(C12xD7):2C2	336,146
(C₁₂xD₇):₃C₂ = D₇xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	84	4+	(C12xD7):3C2	336,148
(C₁₂xD₇):₄C₂ = D₆.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	168	4	(C12xD7):4C2	336,144
(C₁₂xD₇):₅C₂ = C₄xS₃xD₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	84	4	(C12xD7):5C2	336,147
(C₁₂xD₇):₆C₂ = C₃xD₄xD₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	84	4	(C12xD7):6C2	336,178
(C₁₂xD₇):₇C₂ = C₃xD₄:₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	168	4	(C12xD7):7C2	336,179
(C₁₂xD₇):₈C₂ = C₃xQ₈:₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	168	4	(C12xD7):8C2	336,181
(C₁₂xD₇):₉C₂ = C₃xC₄oD₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	168	2	(C12xD7):9C2	336,177

Non-split extensions G=N.Q with N=C₁₂xD₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₂xD₇).₁C₂ = D₇xDic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	168	4-	(C12xD7).1C2	336,137
(C₁₂xD₇).₂C₂ = D₇xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	168	4	(C12xD7).2C2	336,23
(C₁₂xD₇).₃C₂ = C₂₈.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	168	4	(C12xD7).3C2	336,26
(C₁₂xD₇).₄C₂ = C₃xQ₈xD₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	168	4	(C12xD7).4C2	336,180
(C₁₂xD₇).₅C₂ = C₃xC₈:D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xD₇	168	2	(C12xD7).5C2	336,59
(C₁₂xD₇).₆C₂ = D₇xC₂₄	φ: trivial image	168	2	(C12xD7).6C2	336,58

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