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

Extensions 1→N→G→Q→1 with N=D4⋊Dic3 and Q=C2

Direct product G=N×Q with N=D4⋊Dic3 and Q=C2
dρLabelID
C2×D4⋊Dic396C2xD4:Dic3192,773

Semidirect products G=N:Q with N=D4⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊Dic3⋊1C2 = Dic3.SD16φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:1C2192,319
D4⋊Dic3⋊2C2 = C4⋊C4.D6φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:2C2192,323
D4⋊Dic3⋊3C2 = S3×D4⋊C4φ: C2/C1 → C2 ⊆ Out D4⋊Dic348D4:Dic3:3C2192,328
D4⋊Dic3⋊4C2 = C4⋊C4⋊19D6φ: C2/C1 → C2 ⊆ Out D4⋊Dic348D4:Dic3:4C2192,329
D4⋊Dic3⋊5C2 = D4⋊(C4×S3)φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:5C2192,330
D4⋊Dic3⋊6C2 = D4⋊2S3⋊C4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:6C2192,331
D4⋊Dic3⋊7C2 = D6.D8φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:7C2192,333
D4⋊Dic3⋊8C2 = D6.SD16φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:8C2192,336
D4⋊Dic3⋊9C2 = D6⋊C8⋊11C2φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:9C2192,338
D4⋊Dic3⋊10C2 = C24⋊1C4⋊C2φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:10C2192,343
D4⋊Dic3⋊11C2 = C42.48D6φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:11C2192,573
D4⋊Dic3⋊12C2 = (C2×C6).D8φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:12C2192,592
D4⋊Dic3⋊13C2 = C4⋊D4.S3φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:13C2192,593
D4⋊Dic3⋊14C2 = C6.Q16⋊C2φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:14C2192,594
D4⋊Dic3⋊15C2 = C3⋊C8⋊22D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:15C2192,597
D4⋊Dic3⋊16C2 = C4⋊D4⋊S3φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:16C2192,598
D4⋊Dic3⋊17C2 = C3⋊C8⋊23D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:17C2192,600
D4⋊Dic3⋊18C2 = C3⋊C8⋊5D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:18C2192,601
D4⋊Dic3⋊19C2 = D12.23D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:19C2192,616
D4⋊Dic3⋊20C2 = C12.16D8φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:20C2192,629
D4⋊Dic3⋊21C2 = C42.72D6φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:21C2192,630
D4⋊Dic3⋊22C2 = C12⋊2D8φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:22C2192,631
D4⋊Dic3⋊23C2 = Dic6⋊9D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:23C2192,634
D4⋊Dic3⋊24C2 = Dic3×D8φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:24C2192,708
D4⋊Dic3⋊25C2 = Dic3⋊D8φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:25C2192,709
D4⋊Dic3⋊26C2 = D8⋊Dic3φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:26C2192,711
D4⋊Dic3⋊27C2 = (C6×D8).C2φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:27C2192,712
D4⋊Dic3⋊28C2 = D12⋊D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic348D4:Dic3:28C2192,715
D4⋊Dic3⋊29C2 = D6⋊3D8φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:29C2192,716
D4⋊Dic3⋊30C2 = Dic6⋊D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:30C2192,717
D4⋊Dic3⋊31C2 = C24⋊12D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:31C2192,718
D4⋊Dic3⋊32C2 = Dic3⋊5SD16φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:32C2192,722
D4⋊Dic3⋊33C2 = D6⋊6SD16φ: C2/C1 → C2 ⊆ Out D4⋊Dic348D4:Dic3:33C2192,728
D4⋊Dic3⋊34C2 = C24⋊14D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:34C2192,730
D4⋊Dic3⋊35C2 = Dic6.16D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:35C2192,732
D4⋊Dic3⋊36C2 = C24⋊8D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:36C2192,733
D4⋊Dic3⋊37C2 = (C6×D4)⋊6C4φ: C2/C1 → C2 ⊆ Out D4⋊Dic348D4:Dic3:37C2192,774
D4⋊Dic3⋊38C2 = (C2×C6)⋊8D8φ: C2/C1 → C2 ⊆ Out D4⋊Dic348D4:Dic3:38C2192,776
D4⋊Dic3⋊39C2 = (C3×D4).31D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic348D4:Dic3:39C2192,777
D4⋊Dic3⋊40C2 = C4○D4⋊3Dic3φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:40C2192,791
D4⋊Dic3⋊41C2 = (C3×D4)⋊14D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:41C2192,797
D4⋊Dic3⋊42C2 = (C3×D4).32D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3:42C2192,798
D4⋊Dic3⋊43C2 = C4×D4⋊S3φ: trivial image96D4:Dic3:43C2192,572
D4⋊Dic3⋊44C2 = C4○D4⋊4Dic3φ: trivial image96D4:Dic3:44C2192,792

Non-split extensions G=N.Q with N=D4⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊Dic3.1C2 = Dic3.D8φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.1C2192,318
D4⋊Dic3.2C2 = D4⋊Dic6φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.2C2192,320
D4⋊Dic3.3C2 = D4.Dic6φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.3C2192,322
D4⋊Dic3.4C2 = C12⋊Q8⋊C2φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.4C2192,324
D4⋊Dic3.5C2 = D4.2Dic6φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.5C2192,325
D4⋊Dic3.6C2 = (C2×C8).200D6φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.6C2192,327
D4⋊Dic3.7C2 = C12.50D8φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.7C2192,566
D4⋊Dic3.8C2 = C12.38SD16φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.8C2192,567
D4⋊Dic3.9C2 = D4.3Dic6φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.9C2192,568
D4⋊Dic3.10C2 = C42.51D6φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.10C2192,577
D4⋊Dic3.11C2 = C42.61D6φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.11C2192,613
D4⋊Dic3.12C2 = C42.62D6φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.12C2192,614
D4⋊Dic3.13C2 = C42.213D6φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.13C2192,615
D4⋊Dic3.14C2 = Dic3×SD16φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.14C2192,720
D4⋊Dic3.15C2 = SD16⋊Dic3φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.15C2192,723
D4⋊Dic3.16C2 = (C3×Q8).D4φ: C2/C1 → C2 ⊆ Out D4⋊Dic396D4:Dic3.16C2192,725
D4⋊Dic3.17C2 = C4×D4.S3φ: trivial image96D4:Dic3.17C2192,576

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁