Extensions 1→N→G→Q→1 with N=D₁₂⋊D₅ and Q=C₂

Direct product G=N×Q with N=D₁₂⋊D₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₂⋊D₅		240		C2xD12:D5	480,1079

Semidirect products G=N:Q with N=D₁₂⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊D₅⋊₁C₂ = D₃₀.₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	240	8-	D12:D5:1C2	480,575
D₁₂⋊D₅⋊₂C₂ = D₁₂⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	120	8+	D12:D5:2C2	480,576
D₁₂⋊D₅⋊₃C₂ = D₁₂.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	240	8+	D12:D5:3C2	480,599
D₁₂⋊D₅⋊₄C₂ = S₃×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	120	8-	D12:D5:4C2	480,1099
D₁₂⋊D₅⋊₅C₂ = D₁₂⋊₁₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	120	8+	D12:D5:5C2	480,1103
D₁₂⋊D₅⋊₆C₂ = D₁₂.₂₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	240	8-	D12:D5:6C2	480,1106
D₁₂⋊D₅⋊₇C₂ = D₅×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	120	8+	D12:D5:7C2	480,1108
D₁₂⋊D₅⋊₈C₂ = D₂₄⋊₆D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	120	4	D12:D5:8C2	480,333
D₁₂⋊D₅⋊₉C₂ = Dic₆.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	240	4	D12:D5:9C2	480,352
D₁₂⋊D₅⋊₁₀C₂ = D₂₄⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	240	4	D12:D5:10C2	480,355
D₁₂⋊D₅⋊₁₁C₂ = C₃₀.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	240	4	D12:D5:11C2	480,1080
D₁₂⋊D₅⋊₁₂C₂ = D₂₀⋊₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	120	4	D12:D5:12C2	480,1094
D₁₂⋊D₅⋊₁₃C₂ = D₂₀⋊₂₄D₆	φ: trivial image	120	4	D12:D5:13C2	480,1092

Non-split extensions G=N.Q with N=D₁₂⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊D₅.₁C₂ = D₃₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	240	8-	D12:D5.1C2	480,600
D₁₂⋊D₅.₂C₂ = D₃₀.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊D₅	240	4	D12:D5.2C2	480,356

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁