Extensions 1→N→G→Q→1 with N=C₁₂×D₇ and Q=C₂

Direct product G=N×Q with N=C₁₂×D₇ and Q=C₂

		d	ρ	Label	ID
D₇×C₂×C₁₂		168		D7xC2xC12	336,175

Semidirect products G=N:Q with N=C₁₂×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₂×D₇)⋊₁C₂ = D₁₂⋊₅D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	168	4-	(C12xD7):1C2	336,145
(C₁₂×D₇)⋊₂C₂ = D₁₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	168	4+	(C12xD7):2C2	336,146
(C₁₂×D₇)⋊₃C₂ = D₇×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	84	4+	(C12xD7):3C2	336,148
(C₁₂×D₇)⋊₄C₂ = D₆.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	168	4	(C12xD7):4C2	336,144
(C₁₂×D₇)⋊₅C₂ = C₄×S₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	84	4	(C12xD7):5C2	336,147
(C₁₂×D₇)⋊₆C₂ = C₃×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	84	4	(C12xD7):6C2	336,178
(C₁₂×D₇)⋊₇C₂ = C₃×D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	168	4	(C12xD7):7C2	336,179
(C₁₂×D₇)⋊₈C₂ = C₃×Q₈⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	168	4	(C12xD7):8C2	336,181
(C₁₂×D₇)⋊₉C₂ = C₃×C₄○D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	168	2	(C12xD7):9C2	336,177

Non-split extensions G=N.Q with N=C₁₂×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₂×D₇).₁C₂ = D₇×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	168	4-	(C12xD7).1C2	336,137
(C₁₂×D₇).₂C₂ = D₇×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	168	4	(C12xD7).2C2	336,23
(C₁₂×D₇).₃C₂ = C₂₈.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	168	4	(C12xD7).3C2	336,26
(C₁₂×D₇).₄C₂ = C₃×Q₈×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	168	4	(C12xD7).4C2	336,180
(C₁₂×D₇).₅C₂ = C₃×C₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×D₇	168	2	(C12xD7).5C2	336,59
(C₁₂×D₇).₆C₂ = D₇×C₂₄	φ: trivial image	168	2	(C12xD7).6C2	336,58

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