Extensions 1→N→G→Q→1 with N=C₇×D₁₂ and Q=C₂

Direct product G=N×Q with N=C₇×D₁₂ and Q=C₂

		d	ρ	Label	ID
C₁₄×D₁₂		168		C14xD12	336,186

Semidirect products G=N:Q with N=C₇×D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₁₂)⋊₁C₂ = C₇⋊D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	168	4+	(C7xD12):1C2	336,31
(C₇×D₁₂)⋊₂C₂ = D₁₂⋊₅D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	168	4-	(C7xD12):2C2	336,145
(C₇×D₁₂)⋊₃C₂ = D₇×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	84	4+	(C7xD12):3C2	336,148
(C₇×D₁₂)⋊₄C₂ = C₂₁⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	168	4	(C7xD12):4C2	336,29
(C₇×D₁₂)⋊₅C₂ = D₁₂⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	168	4	(C7xD12):5C2	336,141
(C₇×D₁₂)⋊₆C₂ = C₂₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	84	4	(C7xD12):6C2	336,150
(C₇×D₁₂)⋊₇C₂ = C₇×D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	168	2	(C7xD12):7C2	336,77
(C₇×D₁₂)⋊₈C₂ = C₇×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	168	4	(C7xD12):8C2	336,85
(C₇×D₁₂)⋊₉C₂ = S₃×C₇×D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	84	4	(C7xD12):9C2	336,188
(C₇×D₁₂)⋊₁₀C₂ = C₇×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	168	4	(C7xD12):10C2	336,191
(C₇×D₁₂)⋊₁₁C₂ = C₇×C₄○D₁₂	φ: trivial image	168	2	(C7xD12):11C2	336,187

Non-split extensions G=N.Q with N=C₇×D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₁₂).₁C₂ = D₁₂.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	168	4-	(C7xD12).1C2	336,36
(C₇×D₁₂).₂C₂ = C₄₂.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	168	4	(C7xD12).2C2	336,33
(C₇×D₁₂).₃C₂ = C₇×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	168	2	(C7xD12).3C2	336,76
(C₇×D₁₂).₄C₂ = C₇×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₁₂	168	4	(C7xD12).4C2	336,87

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁