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

Extensions 1→N→G→Q→1 with N=Q8:D7 and Q=C22

Direct product G=NxQ with N=Q8:D7 and Q=C22
dρLabelID
C22xQ8:D7224C2^2xQ8:D7448,1260

Semidirect products G=N:Q with N=Q8:D7 and Q=C22
extensionφ:Q→Out NdρLabelID
Q8:D7:1C22 = D28.29D4φ: C22/C1 → C22 ⊆ Out Q8:D71124Q8:D7:1C2^2448,1215
Q8:D7:2C22 = D8:15D14φ: C22/C1 → C22 ⊆ Out Q8:D71124+Q8:D7:2C2^2448,1222
Q8:D7:3C22 = D8:11D14φ: C22/C1 → C22 ⊆ Out Q8:D71124Q8:D7:3C2^2448,1223
Q8:D7:4C22 = D7xC8:C22φ: C22/C1 → C22 ⊆ Out Q8:D7568+Q8:D7:4C2^2448,1225
Q8:D7:5C22 = D7xC8.C22φ: C22/C1 → C22 ⊆ Out Q8:D71128-Q8:D7:5C2^2448,1229
Q8:D7:6C22 = D56:C22φ: C22/C1 → C22 ⊆ Out Q8:D71128+Q8:D7:6C2^2448,1230
Q8:D7:7C22 = C2xD7xSD16φ: C22/C2 → C2 ⊆ Out Q8:D7112Q8:D7:7C2^2448,1211
Q8:D7:8C22 = C2xD56:C2φ: C22/C2 → C2 ⊆ Out Q8:D7112Q8:D7:8C2^2448,1212
Q8:D7:9C22 = C2xQ16:D7φ: C22/C2 → C2 ⊆ Out Q8:D7224Q8:D7:9C2^2448,1217
Q8:D7:10C22 = C2xQ8.D14φ: C22/C2 → C2 ⊆ Out Q8:D7224Q8:D7:10C2^2448,1218
Q8:D7:11C22 = D7xC4oD8φ: C22/C2 → C2 ⊆ Out Q8:D71124Q8:D7:11C2^2448,1220
Q8:D7:12C22 = D8:10D14φ: C22/C2 → C2 ⊆ Out Q8:D71124Q8:D7:12C2^2448,1221
Q8:D7:13C22 = D8:5D14φ: C22/C2 → C2 ⊆ Out Q8:D71128+Q8:D7:13C2^2448,1227
Q8:D7:14C22 = D8:6D14φ: C22/C2 → C2 ⊆ Out Q8:D71128-Q8:D7:14C2^2448,1228
Q8:D7:15C22 = C56.C23φ: C22/C2 → C2 ⊆ Out Q8:D71128+Q8:D7:15C2^2448,1231
Q8:D7:16C22 = C2xC28.C23φ: C22/C2 → C2 ⊆ Out Q8:D7224Q8:D7:16C2^2448,1261
Q8:D7:17C22 = C2xD4:D14φ: C22/C2 → C2 ⊆ Out Q8:D7112Q8:D7:17C2^2448,1273
Q8:D7:18C22 = C28.C24φ: C22/C2 → C2 ⊆ Out Q8:D71124Q8:D7:18C2^2448,1275
Q8:D7:19C22 = D28.32C23φ: C22/C2 → C2 ⊆ Out Q8:D71128+Q8:D7:19C2^2448,1288
Q8:D7:20C22 = D28.34C23φ: C22/C2 → C2 ⊆ Out Q8:D71128+Q8:D7:20C2^2448,1290
Q8:D7:21C22 = C2xD4.8D14φ: trivial image224Q8:D7:21C2^2448,1274
Q8:D7:22C22 = D28.33C23φ: trivial image1128-Q8:D7:22C2^2448,1289

Non-split extensions G=N.Q with N=Q8:D7 and Q=C22
extensionφ:Q→Out NdρLabelID
Q8:D7.C22 = D28.30D4φ: C22/C1 → C22 ⊆ Out Q8:D72244Q8:D7.C2^2448,1219
Q8:D7.2C22 = D28.44D4φ: C22/C2 → C2 ⊆ Out Q8:D72248-Q8:D7.2C2^2448,1232
Q8:D7.3C22 = D28.35C23φ: C22/C2 → C2 ⊆ Out Q8:D72248-Q8:D7.3C2^2448,1291

׿
x
:
Z
F
o
wr
Q
<