Extensions 1→N→G→Q→1 with N=D₁₂⋊₅D₅ and Q=C₂

Direct product G=N×Q with N=D₁₂⋊₅D₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₂⋊₅D₅		240		C2xD12:5D5	480,1084

Semidirect products G=N:Q with N=D₁₂⋊₅D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₅D₅⋊₁C₂ = D₁₂⋊₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	120	8-	D12:5D5:1C2	480,565
D₁₂⋊₅D₅⋊₂C₂ = D₁₂.₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	240	8-	D12:5D5:2C2	480,566
D₁₂⋊₅D₅⋊₃C₂ = D₂₀.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	240	8-	D12:5D5:3C2	480,590
D₁₂⋊₅D₅⋊₄C₂ = S₃×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	120	8-	D12:5D5:4C2	480,1099
D₁₂⋊₅D₅⋊₅C₂ = D₂₀⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	120	8-	D12:5D5:5C2	480,1101
D₁₂⋊₅D₅⋊₆C₂ = D₁₂.₂₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	240	8-	D12:5D5:6C2	480,1106
D₁₂⋊₅D₅⋊₇C₂ = D₂₀⋊₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	120	8-	D12:5D5:7C2	480,1110
D₁₂⋊₅D₅⋊₈C₂ = D₂₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	120	4	D12:5D5:8C2	480,326
D₁₂⋊₅D₅⋊₉C₂ = C₄₀.₃₁D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	240	4	D12:5D5:9C2	480,345
D₁₂⋊₅D₅⋊₁₀C₂ = D₂₄⋊₇D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	240	4-	D12:5D5:10C2	480,346
D₁₂⋊₅D₅⋊₁₁C₂ = D₂₀.₃₉D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	240	4-	D12:5D5:11C2	480,1077
D₁₂⋊₅D₅⋊₁₂C₂ = D₂₀⋊₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	120	4	D12:5D5:12C2	480,1094
D₁₂⋊₅D₅⋊₁₃C₂ = D₅×C₄○D₁₂	φ: trivial image	120	4	D12:5D5:13C2	480,1090

Non-split extensions G=N.Q with N=D₁₂⋊₅D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₅D₅.₁C₂ = D₁₂.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	240	8-	D12:5D5.1C2	480,589
D₁₂⋊₅D₅.₂C₂ = Dic₆₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	240	4-	D12:5D5.2C2	480,336
D₁₂⋊₅D₅.₃C₂ = D₁₂⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	120	8-	D12:5D5.3C2	480,231
D₁₂⋊₅D₅.₄C₂ = D₁₂.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	240	8-	D12:5D5.4C2	480,989
D₁₂⋊₅D₅.₅C₂ = D₁₂⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	120	8-	D12:5D5.5C2	480,232
D₁₂⋊₅D₅.₆C₂ = D₁₂.₂F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₅D₅	240	8-	D12:5D5.6C2	480,987

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