Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=Dic3:C4 and Q=S3

Direct product G=NxQ with N=Dic3:C4 and Q=S3
dρLabelID
S3xDic3:C496S3xDic3:C4288,524

Semidirect products G=N:Q with N=Dic3:C4 and Q=S3
extensionφ:Q→Out NdρLabelID
Dic3:C4:1S3 = C62.20C23φ: S3/C3 → C2 ⊆ Out Dic3:C448Dic3:C4:1S3288,498
Dic3:C4:2S3 = D6:Dic6φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4:2S3288,499
Dic3:C4:3S3 = C62.38C23φ: S3/C3 → C2 ⊆ Out Dic3:C448Dic3:C4:3S3288,516
Dic3:C4:4S3 = C62.31C23φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4:4S3288,509
Dic3:C4:5S3 = D6:2Dic6φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4:5S3288,541
Dic3:C4:6S3 = D6:3Dic6φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4:6S3288,544
Dic3:C4:7S3 = C62.67C23φ: S3/C3 → C2 ⊆ Out Dic3:C448Dic3:C4:7S3288,545
Dic3:C4:8S3 = Dic3:3D12φ: S3/C3 → C2 ⊆ Out Dic3:C448Dic3:C4:8S3288,558
Dic3:C4:9S3 = C62.23C23φ: S3/C3 → C2 ⊆ Out Dic3:C448Dic3:C4:9S3288,501
Dic3:C4:10S3 = C62.32C23φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4:10S3288,510
Dic3:C4:11S3 = C62.35C23φ: S3/C3 → C2 ⊆ Out Dic3:C448Dic3:C4:11S3288,513
Dic3:C4:12S3 = C62.48C23φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4:12S3288,526
Dic3:C4:13S3 = C62.51C23φ: S3/C3 → C2 ⊆ Out Dic3:C448Dic3:C4:13S3288,529
Dic3:C4:14S3 = C62.53C23φ: S3/C3 → C2 ⊆ Out Dic3:C448Dic3:C4:14S3288,531
Dic3:C4:15S3 = C62.18C23φ: S3/C3 → C2 ⊆ Out Dic3:C448Dic3:C4:15S3288,496
Dic3:C4:16S3 = C62.54C23φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4:16S3288,532
Dic3:C4:17S3 = Dic3:D12φ: S3/C3 → C2 ⊆ Out Dic3:C448Dic3:C4:17S3288,534
Dic3:C4:18S3 = C62.58C23φ: S3/C3 → C2 ⊆ Out Dic3:C448Dic3:C4:18S3288,536
Dic3:C4:19S3 = C62.65C23φ: S3/C3 → C2 ⊆ Out Dic3:C448Dic3:C4:19S3288,543
Dic3:C4:20S3 = C62.6C23φ: trivial image48Dic3:C4:20S3288,484
Dic3:C4:21S3 = C62.74C23φ: trivial image48Dic3:C4:21S3288,552

Non-split extensions G=N.Q with N=Dic3:C4 and Q=S3
extensionφ:Q→Out NdρLabelID
Dic3:C4.1S3 = C62.37C23φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4.1S3288,515
Dic3:C4.2S3 = C62.10C23φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4.2S3288,488
Dic3:C4.3S3 = Dic3.Dic6φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4.3S3288,493
Dic3:C4.4S3 = C62.8C23φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4.4S3288,486
Dic3:C4.5S3 = C62.40C23φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4.5S3288,518
Dic3:C4.6S3 = C62.9C23φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4.6S3288,487
Dic3:C4.7S3 = C62.16C23φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4.7S3288,494
Dic3:C4.8S3 = C62.17C23φ: S3/C3 → C2 ⊆ Out Dic3:C496Dic3:C4.8S3288,495
Dic3:C4.9S3 = Dic3:5Dic6φ: trivial image96Dic3:C4.9S3288,485

׿
x
:
Z
F
o
wr
Q
<