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

Extensions 1→N→G→Q→1 with N=C2.Dic12 and Q=C2

Direct product G=N×Q with N=C2.Dic12 and Q=C2
dρLabelID
C2×C2.Dic12192C2xC2.Dic12192,662

Semidirect products G=N:Q with N=C2.Dic12 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.Dic12⋊1C2 = C42.264D6φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:1C2192,256
C2.Dic12⋊2C2 = C24⋊30D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:2C2192,673
C2.Dic12⋊3C2 = C24.82D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:3C2192,675
C2.Dic12⋊4C2 = C23.40D12φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:4C2192,281
C2.Dic12⋊5C2 = C23.15D12φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:5C2192,282
C2.Dic12⋊6C2 = D12⋊14D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:6C2192,293
C2.Dic12⋊7C2 = Dic6.32D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:7C2192,298
C2.Dic12⋊8C2 = D12.19D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:8C2192,403
C2.Dic12⋊9C2 = C23.39D12φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:9C2192,280
C2.Dic12⋊10C2 = D12.32D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:10C2192,292
C2.Dic12⋊11C2 = Dic6⋊14D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:11C2192,297
C2.Dic12⋊12C2 = C12⋊SD16φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:12C2192,400
C2.Dic12⋊13C2 = C42.36D6φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:13C2192,404
C2.Dic12⋊14C2 = D6.2Q16φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:14C2192,443
C2.Dic12⋊15C2 = C2.D8⋊7S3φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:15C2192,447
C2.Dic12⋊16C2 = (C6×D8).C2φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:16C2192,712
C2.Dic12⋊17C2 = Dic6⋊D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:17C2192,717
C2.Dic12⋊18C2 = D6⋊5Q16φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:18C2192,745
C2.Dic12⋊19C2 = D4.S3⋊C4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:19C2192,316
C2.Dic12⋊20C2 = Dic3⋊6SD16φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:20C2192,317
C2.Dic12⋊21C2 = C12⋊Q8⋊C2φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:21C2192,324
C2.Dic12⋊22C2 = (C2×C8).200D6φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:22C2192,327
C2.Dic12⋊23C2 = D4⋊(C4×S3)φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:23C2192,330
C2.Dic12⋊24C2 = D4⋊2S3⋊C4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:24C2192,331
C2.Dic12⋊25C2 = D6⋊SD16φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:25C2192,337
C2.Dic12⋊26C2 = C3⋊C8⋊1D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:26C2192,339
C2.Dic12⋊27C2 = S3×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:27C2192,360
C2.Dic12⋊28C2 = (S3×Q8)⋊C4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:28C2192,361
C2.Dic12⋊29C2 = D6⋊1Q16φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:29C2192,372
C2.Dic12⋊30C2 = C3⋊C8.D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:30C2192,375
C2.Dic12⋊31C2 = D6.2SD16φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:31C2192,421
C2.Dic12⋊32C2 = C6.(C4○D8)φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:32C2192,427
C2.Dic12⋊33C2 = Dic3⋊3SD16φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:33C2192,721
C2.Dic12⋊34C2 = (C3×Q8).D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:34C2192,725
C2.Dic12⋊35C2 = D6⋊8SD16φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:35C2192,729
C2.Dic12⋊36C2 = Dic6.16D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:36C2192,732
C2.Dic12⋊37C2 = C42.16D6φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:37C2192,269
C2.Dic12⋊38C2 = C42.20D6φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:38C2192,273
C2.Dic12⋊39C2 = C23.51D12φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:39C2192,679
C2.Dic12⋊40C2 = C23.54D12φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:40C2192,692
C2.Dic12⋊41C2 = C24⋊2D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:41C2192,693
C2.Dic12⋊42C2 = C24.4D4φ: C2/C1 → C2 ⊆ Out C2.Dic1296C2.Dic12:42C2192,696
C2.Dic12⋊43C2 = C4×C24⋊C2φ: trivial image96C2.Dic12:43C2192,250
C2.Dic12⋊44C2 = C23.28D12φ: trivial image96C2.Dic12:44C2192,672

Non-split extensions G=N.Q with N=C2.Dic12 and Q=C2
extensionφ:Q→Out NdρLabelID
C2.Dic12.1C2 = C12.14Q16φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.1C2192,240
C2.Dic12.2C2 = Dic6.3Q8φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.2C2192,388
C2.Dic12.3C2 = C4⋊Dic12φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.3C2192,408
C2.Dic12.4C2 = Dic6⋊3Q8φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.4C2192,409
C2.Dic12.5C2 = Dic6⋊4Q8φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.5C2192,410
C2.Dic12.6C2 = Dic3.Q16φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.6C2192,434
C2.Dic12.7C2 = Dic6.2Q8φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.7C2192,436
C2.Dic12.8C2 = Dic3⋊3Q16φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.8C2192,741
C2.Dic12.9C2 = C3⋊Q16⋊C4φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.9C2192,348
C2.Dic12.10C2 = Dic3⋊4Q16φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.10C2192,349
C2.Dic12.11C2 = Dic3.1Q16φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.11C2192,351
C2.Dic12.12C2 = (C2×Q8).36D6φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.12C2192,356
C2.Dic12.13C2 = Dic6⋊Q8φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.13C2192,413
C2.Dic12.14C2 = Dic6.Q8φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.14C2192,416
C2.Dic12.15C2 = C42.14D6φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.15C2192,262
C2.Dic12.16C2 = Dic12⋊C4φ: C2/C1 → C2 ⊆ Out C2.Dic12192C2.Dic12.16C2192,275
C2.Dic12.17C2 = C4×Dic12φ: trivial image192C2.Dic12.17C2192,257

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁