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

Extensions 1→N→G→Q→1 with N=D10:C4 and Q=S3

Direct product G=NxQ with N=D10:C4 and Q=S3
dρLabelID
S3xD10:C4120S3xD10:C4480,548

Semidirect products G=N:Q with N=D10:C4 and Q=S3
extensionφ:Q→Out NdρLabelID
D10:C4:1S3 = Dic3.D20φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:1S3480,429
D10:C4:2S3 = D10:C4:S3φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:2S3480,528
D10:C4:3S3 = D6:D20φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:3S3480,530
D10:C4:4S3 = D10.17D12φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:4S3480,490
D10:C4:5S3 = D6.9D20φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:5S3480,533
D10:C4:6S3 = D30:2D4φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:6S3480,535
D10:C4:7S3 = Dic15.10D4φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:7S3480,538
D10:C4:8S3 = D30:5D4φ: S3/C3 → C2 ⊆ Out D10:C4120D10:C4:8S3480,552
D10:C4:9S3 = D30.34D4φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:9S3480,430
D10:C4:10S3 = Dic15:13D4φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:10S3480,472
D10:C4:11S3 = Dic15:9D4φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:11S3480,518
D10:C4:12S3 = D30:12D4φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:12S3480,537
D10:C4:13S3 = Dic15.31D4φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:13S3480,540
D10:C4:14S3 = D30.27D4φ: S3/C3 → C2 ⊆ Out D10:C4120D10:C4:14S3480,549
D10:C4:15S3 = D30.D4φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:15S3480,432
D10:C4:16S3 = D10.16D12φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:16S3480,489
D10:C4:17S3 = Dic15:2D4φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:17S3480,529
D10:C4:18S3 = (C2xDic6):D5φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4:18S3480,531
D10:C4:19S3 = D30:4D4φ: S3/C3 → C2 ⊆ Out D10:C4120D10:C4:19S3480,551
D10:C4:20S3 = Dic3:4D20φ: trivial image240D10:C4:20S3480,471
D10:C4:21S3 = C15:17(C4xD4)φ: trivial image240D10:C4:21S3480,517

Non-split extensions G=N.Q with N=D10:C4 and Q=S3
extensionφ:Q→Out NdρLabelID
D10:C4.1S3 = (C4xDic3):D5φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4.1S3480,439
D10:C4.2S3 = (C2xC60).C22φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4.2S3480,438
D10:C4.3S3 = D10:2Dic6φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4.3S3480,498
D10:C4.4S3 = D10:4Dic6φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4.4S3480,507
D10:C4.5S3 = (C4xDic15):C2φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4.5S3480,442
D10:C4.6S3 = D10.19(C4xS3)φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4.6S3480,470
D10:C4.7S3 = (C2xC12).D10φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4.7S3480,437
D10:C4.8S3 = D10:1Dic6φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4.8S3480,497
D10:C4.9S3 = Dic15.D4φ: S3/C3 → C2 ⊆ Out D10:C4240D10:C4.9S3480,506
D10:C4.10S3 = (D5xDic3):C4φ: trivial image240D10:C4.10S3480,469

׿
x
:
Z
F
o
wr
Q
<