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

Extensions 1→N→G→Q→1 with N=D4:Dic5 and Q=C2

Direct product G=NxQ with N=D4:Dic5 and Q=C2
dρLabelID
C2xD4:Dic5160C2xD4:Dic5320,841

Semidirect products G=N:Q with N=D4:Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:Dic5:1C2 = Dic5.5D8φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:1C2320,387
D4:Dic5:2C2 = C4:C4.D10φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:2C2320,391
D4:Dic5:3C2 = D5xD4:C4φ: C2/C1 → C2 ⊆ Out D4:Dic580D4:Dic5:3C2320,396
D4:Dic5:4C2 = (D4xD5):C4φ: C2/C1 → C2 ⊆ Out D4:Dic580D4:Dic5:4C2320,397
D4:Dic5:5C2 = D4:(C4xD5)φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:5C2320,398
D4:Dic5:6C2 = D4:2D5:C4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:6C2320,399
D4:Dic5:7C2 = D10.12D8φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:7C2320,401
D4:Dic5:8C2 = D10.16SD16φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:8C2320,404
D4:Dic5:9C2 = C40:6C4:C2φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:9C2320,406
D4:Dic5:10C2 = C40:5C4:C2φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:10C2320,411
D4:Dic5:11C2 = C42.48D10φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:11C2320,641
D4:Dic5:12C2 = (C2xC10).D8φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:12C2320,660
D4:Dic5:13C2 = C4:D4.D5φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:13C2320,661
D4:Dic5:14C2 = (C2xD4).D10φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:14C2320,662
D4:Dic5:15C2 = (C2xC10):D8φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:15C2320,665
D4:Dic5:16C2 = C4:D4:D5φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:16C2320,666
D4:Dic5:17C2 = C5:2C8:23D4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:17C2320,668
D4:Dic5:18C2 = C4.(D4xD5)φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:18C2320,669
D4:Dic5:19C2 = D20.23D4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:19C2320,684
D4:Dic5:20C2 = C20.16D8φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:20C2320,697
D4:Dic5:21C2 = C42.72D10φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:21C2320,698
D4:Dic5:22C2 = C20:2D8φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:22C2320,699
D4:Dic5:23C2 = Dic10:9D4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:23C2320,702
D4:Dic5:24C2 = D8xDic5φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:24C2320,776
D4:Dic5:25C2 = Dic5:D8φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:25C2320,777
D4:Dic5:26C2 = D8:Dic5φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:26C2320,779
D4:Dic5:27C2 = (C2xD8).D5φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:27C2320,780
D4:Dic5:28C2 = D20:D4φ: C2/C1 → C2 ⊆ Out D4:Dic580D4:Dic5:28C2320,783
D4:Dic5:29C2 = C40:6D4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:29C2320,784
D4:Dic5:30C2 = Dic10:D4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:30C2320,785
D4:Dic5:31C2 = C40:12D4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:31C2320,786
D4:Dic5:32C2 = Dic5:5SD16φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:32C2320,790
D4:Dic5:33C2 = D10:6SD16φ: C2/C1 → C2 ⊆ Out D4:Dic580D4:Dic5:33C2320,796
D4:Dic5:34C2 = C40:14D4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:34C2320,798
D4:Dic5:35C2 = Dic10.16D4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:35C2320,800
D4:Dic5:36C2 = C40:8D4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:36C2320,801
D4:Dic5:37C2 = (D4xC10):18C4φ: C2/C1 → C2 ⊆ Out D4:Dic580D4:Dic5:37C2320,842
D4:Dic5:38C2 = (C2xC10):8D8φ: C2/C1 → C2 ⊆ Out D4:Dic580D4:Dic5:38C2320,844
D4:Dic5:39C2 = (C5xD4).31D4φ: C2/C1 → C2 ⊆ Out D4:Dic580D4:Dic5:39C2320,845
D4:Dic5:40C2 = C4oD4:Dic5φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:40C2320,859
D4:Dic5:41C2 = (C5xD4):14D4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:41C2320,865
D4:Dic5:42C2 = (C5xD4).32D4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5:42C2320,866
D4:Dic5:43C2 = C4xD4:D5φ: trivial image160D4:Dic5:43C2320,640
D4:Dic5:44C2 = C20.(C2xD4)φ: trivial image160D4:Dic5:44C2320,860

Non-split extensions G=N.Q with N=D4:Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:Dic5.1C2 = Dic5.14D8φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.1C2320,386
D4:Dic5.2C2 = D4:Dic10φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.2C2320,388
D4:Dic5.3C2 = D4.Dic10φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.3C2320,390
D4:Dic5.4C2 = C20:Q8:C2φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.4C2320,392
D4:Dic5.5C2 = D4.2Dic10φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.5C2320,393
D4:Dic5.6C2 = (C8xDic5):C2φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.6C2320,395
D4:Dic5.7C2 = C20.50D8φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.7C2320,634
D4:Dic5.8C2 = C20.38SD16φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.8C2320,635
D4:Dic5.9C2 = D4.3Dic10φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.9C2320,636
D4:Dic5.10C2 = C42.51D10φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.10C2320,645
D4:Dic5.11C2 = C42.61D10φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.11C2320,681
D4:Dic5.12C2 = C42.62D10φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.12C2320,682
D4:Dic5.13C2 = C42.213D10φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.13C2320,683
D4:Dic5.14C2 = SD16xDic5φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.14C2320,788
D4:Dic5.15C2 = SD16:Dic5φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.15C2320,791
D4:Dic5.16C2 = (C5xQ8).D4φ: C2/C1 → C2 ⊆ Out D4:Dic5160D4:Dic5.16C2320,793
D4:Dic5.17C2 = C4xD4.D5φ: trivial image160D4:Dic5.17C2320,644

׿
x
:
Z
F
o
wr
Q
<