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

Extensions 1→N→G→Q→1 with N=Dic7.D4 and Q=C2

Direct product G=NxQ with N=Dic7.D4 and Q=C2
dρLabelID
C2xDic7.D4224C2xDic7.D4448,944

Semidirect products G=N:Q with N=Dic7.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7.D4:1C2 = C24.27D14φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:1C2448,943
Dic7.D4:2C2 = C24.30D14φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:2C2448,947
Dic7.D4:3C2 = C24.31D14φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:3C2448,948
Dic7.D4:4C2 = C42.97D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:4C2448,985
Dic7.D4:5C2 = C42.99D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:5C2448,987
Dic7.D4:6C2 = Dic14:23D4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:6C2448,1005
Dic7.D4:7C2 = C42:16D14φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:7C2448,1009
Dic7.D4:8C2 = C42.114D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:8C2448,1012
Dic7.D4:9C2 = C42:17D14φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:9C2448,1013
Dic7.D4:10C2 = C42.115D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:10C2448,1014
Dic7.D4:11C2 = C42.117D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:11C2448,1016
Dic7.D4:12C2 = C24.33D14φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:12C2448,1044
Dic7.D4:13C2 = C24.34D14φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:13C2448,1045
Dic7.D4:14C2 = C24.35D14φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:14C2448,1046
Dic7.D4:15C2 = C24:4D14φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:15C2448,1047
Dic7.D4:16C2 = C28:(C4oD4)φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:16C2448,1049
Dic7.D4:17C2 = Dic14:19D4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:17C2448,1051
Dic7.D4:18C2 = C14.382+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:18C2448,1060
Dic7.D4:19C2 = C14.402+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:19C2448,1063
Dic7.D4:20C2 = C14.422+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:20C2448,1066
Dic7.D4:21C2 = C14.452+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:21C2448,1069
Dic7.D4:22C2 = C14.462+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:22C2448,1070
Dic7.D4:23C2 = C14.492+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:23C2448,1074
Dic7.D4:24C2 = C14.162- 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:24C2448,1081
Dic7.D4:25C2 = Dic14:22D4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:25C2448,1086
Dic7.D4:26C2 = C14.222- 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:26C2448,1093
Dic7.D4:27C2 = C14.242- 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:27C2448,1096
Dic7.D4:28C2 = C14.262- 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:28C2448,1100
Dic7.D4:29C2 = C14.792- 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:29C2448,1101
Dic7.D4:30C2 = C4:C4.197D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:30C2448,1102
Dic7.D4:31C2 = C14.1212+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:31C2448,1107
Dic7.D4:32C2 = C14.612+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:32C2448,1110
Dic7.D4:33C2 = C14.1222+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:33C2448,1111
Dic7.D4:34C2 = C14.842- 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:34C2448,1115
Dic7.D4:35C2 = C14.672+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:35C2448,1117
Dic7.D4:36C2 = C14.862- 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:36C2448,1120
Dic7.D4:37C2 = C42.137D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:37C2448,1122
Dic7.D4:38C2 = C42.138D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:38C2448,1123
Dic7.D4:39C2 = D7xC4.4D4φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:39C2448,1126
Dic7.D4:40C2 = Dic14:10D4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:40C2448,1130
Dic7.D4:41C2 = C42.143D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:41C2448,1134
Dic7.D4:42C2 = C42.144D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:42C2448,1135
Dic7.D4:43C2 = C42:22D14φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:43C2448,1136
Dic7.D4:44C2 = C42:23D14φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:44C2448,1157
Dic7.D4:45C2 = C42:24D14φ: C2/C1 → C2 ⊆ Out Dic7.D4112Dic7.D4:45C2448,1158
Dic7.D4:46C2 = C42.189D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:46C2448,1159
Dic7.D4:47C2 = C42.164D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4:47C2448,1163
Dic7.D4:48C2 = C42.93D14φ: trivial image224Dic7.D4:48C2448,981
Dic7.D4:49C2 = C42.102D14φ: trivial image224Dic7.D4:49C2448,991
Dic7.D4:50C2 = C42.228D14φ: trivial image224Dic7.D4:50C2448,1001

Non-split extensions G=N.Q with N=Dic7.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7.D4.1C2 = C42.98D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4.1C2448,986
Dic7.D4.2C2 = C14.232- 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4.2C2448,1094
Dic7.D4.3C2 = C14.582+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4.3C2448,1099
Dic7.D4.4C2 = C42.160D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4.4C2448,1155
Dic7.D4.5C2 = C42.165D14φ: C2/C1 → C2 ⊆ Out Dic7.D4224Dic7.D4.5C2448,1165

׿
x
:
Z
F
o
wr
Q
<