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

Extensions 1→N→G→Q→1 with N=C5×C22⋊Q8 and Q=C2

Direct product G=N×Q with N=C5×C22⋊Q8 and Q=C2
dρLabelID
C10×C22⋊Q8160C10xC2^2:Q8320,1525

Semidirect products G=N:Q with N=C5×C22⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C22⋊Q8)⋊1C2 = D20.36D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8):1C2320,673
(C5×C22⋊Q8)⋊2C2 = D20.37D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):2C2320,674
(C5×C22⋊Q8)⋊3C2 = C5⋊2C8⋊24D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):3C2320,675
(C5×C22⋊Q8)⋊4C2 = C22⋊Q8⋊D5φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):4C2320,676
(C5×C22⋊Q8)⋊5C2 = C22⋊Q8⋊25D5φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):5C2320,1296
(C5×C22⋊Q8)⋊6C2 = D5×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8):6C2320,1298
(C5×C22⋊Q8)⋊7C2 = C4⋊C4⋊26D10φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8):7C2320,1299
(C5×C22⋊Q8)⋊8C2 = C10.162- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):8C2320,1300
(C5×C22⋊Q8)⋊9C2 = C10.172- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):9C2320,1301
(C5×C22⋊Q8)⋊10C2 = D20⋊21D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8):10C2320,1302
(C5×C22⋊Q8)⋊11C2 = D20⋊22D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):11C2320,1303
(C5×C22⋊Q8)⋊12C2 = Dic10⋊21D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):12C2320,1304
(C5×C22⋊Q8)⋊13C2 = Dic10⋊22D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):13C2320,1305
(C5×C22⋊Q8)⋊14C2 = C10.512+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8):14C2320,1306
(C5×C22⋊Q8)⋊15C2 = C10.1182+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):15C2320,1307
(C5×C22⋊Q8)⋊16C2 = C10.522+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):16C2320,1308
(C5×C22⋊Q8)⋊17C2 = C10.532+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8):17C2320,1309
(C5×C22⋊Q8)⋊18C2 = C10.202- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):18C2320,1310
(C5×C22⋊Q8)⋊19C2 = C10.212- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):19C2320,1311
(C5×C22⋊Q8)⋊20C2 = C10.222- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):20C2320,1312
(C5×C22⋊Q8)⋊21C2 = C10.232- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):21C2320,1313
(C5×C22⋊Q8)⋊22C2 = C10.772- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):22C2320,1314
(C5×C22⋊Q8)⋊23C2 = C10.242- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):23C2320,1315
(C5×C22⋊Q8)⋊24C2 = C10.562+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8):24C2320,1316
(C5×C22⋊Q8)⋊25C2 = C10.572+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):25C2320,1317
(C5×C22⋊Q8)⋊26C2 = C10.582+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):26C2320,1318
(C5×C22⋊Q8)⋊27C2 = C10.262- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):27C2320,1319
(C5×C22⋊Q8)⋊28C2 = C5×C22⋊SD16φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8):28C2320,951
(C5×C22⋊Q8)⋊29C2 = C5×D4.7D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):29C2320,953
(C5×C22⋊Q8)⋊30C2 = C5×C8⋊8D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):30C2320,966
(C5×C22⋊Q8)⋊31C2 = C5×C8⋊D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):31C2320,969
(C5×C22⋊Q8)⋊32C2 = C5×C23.38C23φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):32C2320,1538
(C5×C22⋊Q8)⋊33C2 = C5×C22.31C24φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):33C2320,1539
(C5×C22⋊Q8)⋊34C2 = C5×C22.32C24φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8):34C2320,1540
(C5×C22⋊Q8)⋊35C2 = C5×C22.33C24φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):35C2320,1541
(C5×C22⋊Q8)⋊36C2 = C5×C22.36C24φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):36C2320,1544
(C5×C22⋊Q8)⋊37C2 = C5×C23⋊2Q8φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8):37C2320,1545
(C5×C22⋊Q8)⋊38C2 = C5×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8):38C2320,1548
(C5×C22⋊Q8)⋊39C2 = C5×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):39C2320,1549
(C5×C22⋊Q8)⋊40C2 = C5×Q8⋊5D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):40C2320,1550
(C5×C22⋊Q8)⋊41C2 = C5×D4×Q8φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):41C2320,1551
(C5×C22⋊Q8)⋊42C2 = C5×C22.45C24φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8):42C2320,1553
(C5×C22⋊Q8)⋊43C2 = C5×C22.46C24φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):43C2320,1554
(C5×C22⋊Q8)⋊44C2 = C5×D4⋊3Q8φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):44C2320,1556
(C5×C22⋊Q8)⋊45C2 = C5×C22.50C24φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):45C2320,1558
(C5×C22⋊Q8)⋊46C2 = C5×C22.56C24φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):46C2320,1564
(C5×C22⋊Q8)⋊47C2 = C5×C22.57C24φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8):47C2320,1565
(C5×C22⋊Q8)⋊48C2 = C5×C22.19C24φ: trivial image80(C5xC2^2:Q8):48C2320,1527
(C5×C22⋊Q8)⋊49C2 = C5×C23.36C23φ: trivial image160(C5xC2^2:Q8):49C2320,1531

Non-split extensions G=N.Q with N=C5×C22⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C22⋊Q8).1C2 = C22⋊Q8.D5φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).1C2320,670
(C5×C22⋊Q8).2C2 = (C2×C10).Q16φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).2C2320,671
(C5×C22⋊Q8).3C2 = C10.(C4○D8)φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).3C2320,672
(C5×C22⋊Q8).4C2 = Dic10.37D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).4C2320,677
(C5×C22⋊Q8).5C2 = (C2×C10)⋊Q16φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).5C2320,678
(C5×C22⋊Q8).6C2 = C5⋊(C8.D4)φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).6C2320,679
(C5×C22⋊Q8).7C2 = (Q8×Dic5)⋊C2φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).7C2320,1294
(C5×C22⋊Q8).8C2 = C10.502+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).8C2320,1295
(C5×C22⋊Q8).9C2 = C10.152- 1+4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).9C2320,1297
(C5×C22⋊Q8).10C2 = C10.29C4≀C2φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8).10C2320,96
(C5×C22⋊Q8).11C2 = C5×C23.31D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q880(C5xC2^2:Q8).11C2320,133
(C5×C22⋊Q8).12C2 = C5×C22⋊Q16φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).12C2320,952
(C5×C22⋊Q8).13C2 = C5×C8.18D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).13C2320,968
(C5×C22⋊Q8).14C2 = C5×C8.D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).14C2320,971
(C5×C22⋊Q8).15C2 = C5×C23.47D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).15C2320,984
(C5×C22⋊Q8).16C2 = C5×C23.48D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).16C2320,985
(C5×C22⋊Q8).17C2 = C5×C23.20D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).17C2320,986
(C5×C22⋊Q8).18C2 = C5×C22.35C24φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).18C2320,1543
(C5×C22⋊Q8).19C2 = C5×C23.41C23φ: C2/C1 → C2 ⊆ Out C5×C22⋊Q8160(C5xC2^2:Q8).19C2320,1546
(C5×C22⋊Q8).20C2 = C5×C23.37C23φ: trivial image160(C5xC2^2:Q8).20C2320,1535

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁