Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=D4○D12 and Q=C2

Direct product G=N×Q with N=D4○D12 and Q=C2
dρLabelID
C2×D4○D1248C2xD4oD12192,1521

Semidirect products G=N:Q with N=D4○D12 and Q=C2
extensionφ:Q→Out NdρLabelID
D4○D12⋊1C2 = Q8⋊5D12φ: C2/C1 → C2 ⊆ Out D4○D12244+D4oD12:1C2192,381
D4○D12⋊2C2 = D12⋊18D4φ: C2/C1 → C2 ⊆ Out D4○D12248+D4oD12:2C2192,757
D4○D12⋊3C2 = D4.11D12φ: C2/C1 → C2 ⊆ Out D4○D12484D4oD12:3C2192,1310
D4○D12⋊4C2 = D4.12D12φ: C2/C1 → C2 ⊆ Out D4○D12484+D4oD12:4C2192,1311
D4○D12⋊5C2 = D8⋊15D6φ: C2/C1 → C2 ⊆ Out D4○D12484+D4oD12:5C2192,1328
D4○D12⋊6C2 = D8⋊11D6φ: C2/C1 → C2 ⊆ Out D4○D12484D4oD12:6C2192,1329
D4○D12⋊7C2 = D8⋊5D6φ: C2/C1 → C2 ⊆ Out D4○D12488+D4oD12:7C2192,1333
D4○D12⋊8C2 = C24.C23φ: C2/C1 → C2 ⊆ Out D4○D12488+D4oD12:8C2192,1337
D4○D12⋊9C2 = D12.32C23φ: C2/C1 → C2 ⊆ Out D4○D12488+D4oD12:9C2192,1394
D4○D12⋊10C2 = D12.34C23φ: C2/C1 → C2 ⊆ Out D4○D12488+D4oD12:10C2192,1396
D4○D12⋊11C2 = S3×2+ 1+4φ: C2/C1 → C2 ⊆ Out D4○D12248+D4oD12:11C2192,1524
D4○D12⋊12C2 = D12.39C23φ: C2/C1 → C2 ⊆ Out D4○D12488+D4oD12:12C2192,1527
D4○D12⋊13C2 = C6.C25φ: trivial image484D4oD12:13C2192,1523

Non-split extensions G=N.Q with N=D4○D12 and Q=C2
extensionφ:Q→Out NdρLabelID
D4○D12.1C2 = C42⋊5D6φ: C2/C1 → C2 ⊆ Out D4○D12484D4oD12.1C2192,384
D4○D12.2C2 = D12.39D4φ: C2/C1 → C2 ⊆ Out D4○D12488+D4oD12.2C2192,761

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁