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

Extensions 1→N→G→Q→1 with N=C4⋊D28 and Q=C2

Direct product G=N×Q with N=C4⋊D28 and Q=C2
dρLabelID
C2×C4⋊D28224C2xC4:D28448,959

Semidirect products G=N:Q with N=C4⋊D28 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊D28⋊1C2 = D4⋊D28φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:1C2448,307
C4⋊D28⋊2C2 = D14⋊D8φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:2C2448,309
C4⋊D28⋊3C2 = D4⋊3D28φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:3C2448,315
C4⋊D28⋊4C2 = C7⋊C8⋊D4φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:4C2448,316
C4⋊D28⋊5C2 = D28⋊4D4φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:5C2448,345
C4⋊D28⋊6C2 = C56⋊7D4φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:6C2448,399
C4⋊D28⋊7C2 = C8⋊7D28φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:7C2448,417
C4⋊D28⋊8C2 = C14.2- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:8C2448,960
C4⋊D28⋊9C2 = C14.2+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:9C2448,963
C4⋊D28⋊10C2 = C14.112+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:10C2448,967
C4⋊D28⋊11C2 = C42⋊9D14φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:11C2448,978
C4⋊D28⋊12C2 = C42.95D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:12C2448,983
C4⋊D28⋊13C2 = C42.97D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:13C2448,985
C4⋊D28⋊14C2 = D4×D28φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:14C2448,1002
C4⋊D28⋊15C2 = D4⋊5D28φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:15C2448,1007
C4⋊D28⋊16C2 = C42.116D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:16C2448,1015
C4⋊D28⋊17C2 = Q8⋊5D28φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:17C2448,1029
C4⋊D28⋊18C2 = Q8⋊6D28φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:18C2448,1030
C4⋊D28⋊19C2 = Dic14⋊20D4φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:19C2448,1052
C4⋊D28⋊20C2 = D7×C4⋊D4φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:20C2448,1057
C4⋊D28⋊21C2 = C14.382+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:21C2448,1060
C4⋊D28⋊22C2 = D28⋊19D4φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:22C2448,1062
C4⋊D28⋊23C2 = C4⋊C4⋊26D14φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:23C2448,1080
C4⋊D28⋊24C2 = C14.172- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:24C2448,1082
C4⋊D28⋊25C2 = D28⋊21D4φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:25C2448,1083
C4⋊D28⋊26C2 = Dic14⋊22D4φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:26C2448,1086
C4⋊D28⋊27C2 = C14.562+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:27C2448,1097
C4⋊D28⋊28C2 = C14.262- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:28C2448,1100
C4⋊D28⋊29C2 = C14.1202+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:29C2448,1106
C4⋊D28⋊30C2 = C14.1212+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:30C2448,1107
C4⋊D28⋊31C2 = C14.662+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:31C2448,1116
C4⋊D28⋊32C2 = C14.682+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:32C2448,1119
C4⋊D28⋊33C2 = C42.153D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:33C2448,1148
C4⋊D28⋊34C2 = C42.156D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:34C2448,1151
C4⋊D28⋊35C2 = C42.158D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:35C2448,1153
C4⋊D28⋊36C2 = C42⋊23D14φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:36C2448,1157
C4⋊D28⋊37C2 = C42.163D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:37C2448,1162
C4⋊D28⋊38C2 = C42⋊25D14φ: C2/C1 → C2 ⊆ Out C4⋊D28112C4:D28:38C2448,1164
C4⋊D28⋊39C2 = C42.240D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:39C2448,1178
C4⋊D28⋊40C2 = D28⋊12D4φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:40C2448,1179
C4⋊D28⋊41C2 = C42.179D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28:41C2448,1187
C4⋊D28⋊42C2 = C42⋊8D14φ: trivial image112C4:D28:42C2448,977
C4⋊D28⋊43C2 = C42.228D14φ: trivial image224C4:D28:43C2448,1001

Non-split extensions G=N.Q with N=C4⋊D28 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊D28.1C2 = Q8⋊2D28φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.1C2448,340
C4⋊D28.2C2 = D14⋊2SD16φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.2C2448,341
C4⋊D28.3C2 = C7⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.3C2448,346
C4⋊D28.4C2 = D14.4SD16φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.4C2448,397
C4⋊D28.5C2 = C8⋊8D28φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.5C2448,398
C4⋊D28.6C2 = C4.Q8⋊D7φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.6C2448,400
C4⋊D28.7C2 = D14.5D8φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.7C2448,416
C4⋊D28.8C2 = C2.D8⋊D7φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.8C2448,419
C4⋊D28.9C2 = C8⋊3D28φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.9C2448,420
C4⋊D28.10C2 = C42.133D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.10C2448,1035
C4⋊D28.11C2 = C42.237D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.11C2448,1144
C4⋊D28.12C2 = C42.150D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.12C2448,1145
C4⋊D28.13C2 = C42.178D14φ: C2/C1 → C2 ⊆ Out C4⋊D28224C4:D28.13C2448,1186
C4⋊D28.14C2 = C42.131D14φ: trivial image224C4:D28.14C2448,1033

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁