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

Direct product G=NxQ with N=D₁₂:₅D₅ and Q=C₂

		d	ρ	Label	ID
C₂xD₁₂:₅D₅		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 = S₃xD₄:₂D₅	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 = D₅xC₄oD₁₂	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

׿

x

:

Z

F

o

wr

Q

<