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

Extensions 1→N→G→Q→1 with N=C12⋊7D4 and Q=C2

Direct product G=N×Q with N=C12⋊7D4 and Q=C2
dρLabelID
C2×C12⋊7D496C2xC12:7D4192,1349

Semidirect products G=N:Q with N=C12⋊7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C12⋊7D4⋊1C2 = D12⋊13D4φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:1C2192,291
C12⋊7D4⋊2C2 = C24⋊29D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:2C2192,674
C12⋊7D4⋊3C2 = C23⋊4D12φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:3C2192,1052
C12⋊7D4⋊4C2 = C24.41D6φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:4C2192,1053
C12⋊7D4⋊5C2 = C6.2+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:5C2192,1069
C12⋊7D4⋊6C2 = C42.104D6φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:6C2192,1099
C12⋊7D4⋊7C2 = D4×D12φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:7C2192,1108
C12⋊7D4⋊8C2 = Dic6⋊23D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:8C2192,1111
C12⋊7D4⋊9C2 = D4⋊5D12φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:9C2192,1113
C12⋊7D4⋊10C2 = D4⋊6D12φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:10C2192,1114
C12⋊7D4⋊11C2 = C42⋊19D6φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:11C2192,1119
C12⋊7D4⋊12C2 = C42.116D6φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:12C2192,1121
C12⋊7D4⋊13C2 = C42.119D6φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:13C2192,1124
C12⋊7D4⋊14C2 = C6.682+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:14C2192,1225
C12⋊7D4⋊15C2 = C6.692+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:15C2192,1226
C12⋊7D4⋊16C2 = D12⋊14D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:16C2192,293
C12⋊7D4⋊17C2 = C24.38D6φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:17C2192,1049
C12⋊7D4⋊18C2 = D12⋊23D4φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:18C2192,1109
C12⋊7D4⋊19C2 = Dic6⋊24D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:19C2192,1112
C12⋊7D4⋊20C2 = C42.117D6φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:20C2192,1122
C12⋊7D4⋊21C2 = C6.612+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:21C2192,1216
C12⋊7D4⋊22C2 = C6.662+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:22C2192,1222
C12⋊7D4⋊23C2 = C3⋊C8⋊22D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:23C2192,597
C12⋊7D4⋊24C2 = C4⋊D4⋊S3φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:24C2192,598
C12⋊7D4⋊25C2 = (C2×C6)⋊8D8φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:25C2192,776
C12⋊7D4⋊26C2 = (C3×D4)⋊14D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:26C2192,797
C12⋊7D4⋊27C2 = C6.2- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:27C2192,1066
C12⋊7D4⋊28C2 = C6.112+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:28C2192,1073
C12⋊7D4⋊29C2 = C42.95D6φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:29C2192,1089
C12⋊7D4⋊30C2 = C42.97D6φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:30C2192,1091
C12⋊7D4⋊31C2 = C12⋊(C4○D4)φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:31C2192,1155
C12⋊7D4⋊32C2 = S3×C4⋊D4φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:32C2192,1163
C12⋊7D4⋊33C2 = C6.382+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:33C2192,1166
C12⋊7D4⋊34C2 = C6.472+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:34C2192,1178
C12⋊7D4⋊35C2 = C4⋊C4⋊26D6φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:35C2192,1186
C12⋊7D4⋊36C2 = C6.172- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:36C2192,1188
C12⋊7D4⋊37C2 = D4×C3⋊D4φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:37C2192,1360
C12⋊7D4⋊38C2 = C6.452- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:38C2192,1376
C12⋊7D4⋊39C2 = C6.1452+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:39C2192,1388
C12⋊7D4⋊40C2 = C6.1482+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:40C2192,1393
C12⋊7D4⋊41C2 = C24⋊3D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:41C2192,694
C12⋊7D4⋊42C2 = C42.100D6φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:42C2192,1094
C12⋊7D4⋊43C2 = C6.322+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:43C2192,1156
C12⋊7D4⋊44C2 = C6.372+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:44C2192,1164
C12⋊7D4⋊45C2 = C6.482+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:45C2192,1179
C12⋊7D4⋊46C2 = C6.562+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:46C2192,1203
C12⋊7D4⋊47C2 = C6.592+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:47C2192,1206
C12⋊7D4⋊48C2 = C6.1462+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4:48C2192,1389
C12⋊7D4⋊49C2 = C6.1082- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4:49C2192,1392
C12⋊7D4⋊50C2 = C42.276D6φ: trivial image96C12:7D4:50C2192,1036
C12⋊7D4⋊51C2 = C24.83D6φ: trivial image48C12:7D4:51C2192,1350

Non-split extensions G=N.Q with N=C12⋊7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C12⋊7D4.1C2 = C22.2D24φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4.1C2192,29
C12⋊7D4.2C2 = C23.43D12φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.2C2192,294
C12⋊7D4.3C2 = C22.D24φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.3C2192,295
C12⋊7D4.4C2 = Dic6⋊14D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.4C2192,297
C12⋊7D4.5C2 = C24⋊30D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.5C2192,673
C12⋊7D4.6C2 = C6.62- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.6C2192,1074
C12⋊7D4.7C2 = C6.C4≀C2φ: C2/C1 → C2 ⊆ Out C12⋊7D448C12:7D4.7C2192,10
C12⋊7D4.8C2 = C23.18D12φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.8C2192,296
C12⋊7D4.9C2 = (C2×C6).40D8φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.9C2192,526
C12⋊7D4.10C2 = C4⋊C4.228D6φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.10C2192,527
C12⋊7D4.11C2 = C4⋊C4.236D6φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.11C2192,562
C12⋊7D4.12C2 = C3⋊C8⋊24D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.12C2192,607
C12⋊7D4.13C2 = C3⋊C8⋊6D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.13C2192,608
C12⋊7D4.14C2 = (C3×Q8)⋊13D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.14C2192,786
C12⋊7D4.15C2 = C4⋊C4.187D6φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.15C2192,1183
C12⋊7D4.16C2 = C6.242- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.16C2192,1202
C12⋊7D4.17C2 = C24⋊2D4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.17C2192,693
C12⋊7D4.18C2 = C42.99D6φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.18C2192,1093
C12⋊7D4.19C2 = C6.782- 1+4φ: C2/C1 → C2 ⊆ Out C12⋊7D496C12:7D4.19C2192,1204
C12⋊7D4.20C2 = C42.277D6φ: trivial image96C12:7D4.20C2192,1038

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁