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

Extensions 1→N→G→Q→1 with N=C5×C4⋊D4 and Q=C2

Direct product G=N×Q with N=C5×C4⋊D4 and Q=C2
dρLabelID
C10×C4⋊D4160C10xC4:D4320,1524

Semidirect products G=N:Q with N=C5×C4⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4⋊D4)⋊1C2 = D20⋊16D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):1C2320,663
(C5×C4⋊D4)⋊2C2 = D20⋊17D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):2C2320,664
(C5×C4⋊D4)⋊3C2 = (C2×C10)⋊D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):3C2320,665
(C5×C4⋊D4)⋊4C2 = C4⋊D4⋊D5φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):4C2320,666
(C5×C4⋊D4)⋊5C2 = C20⋊(C4○D4)φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):5C2320,1268
(C5×C4⋊D4)⋊6C2 = C10.682- 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):6C2320,1269
(C5×C4⋊D4)⋊7C2 = Dic10⋊19D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):7C2320,1270
(C5×C4⋊D4)⋊8C2 = Dic10⋊20D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):8C2320,1271
(C5×C4⋊D4)⋊9C2 = C10.342+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):9C2320,1273
(C5×C4⋊D4)⋊10C2 = D5×C4⋊D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):10C2320,1276
(C5×C4⋊D4)⋊11C2 = C10.372+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):11C2320,1277
(C5×C4⋊D4)⋊12C2 = C4⋊C4⋊21D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):12C2320,1278
(C5×C4⋊D4)⋊13C2 = C10.382+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):13C2320,1279
(C5×C4⋊D4)⋊14C2 = C10.392+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):14C2320,1280
(C5×C4⋊D4)⋊15C2 = D20⋊19D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):15C2320,1281
(C5×C4⋊D4)⋊16C2 = C10.402+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):16C2320,1282
(C5×C4⋊D4)⋊17C2 = C10.732- 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):17C2320,1283
(C5×C4⋊D4)⋊18C2 = D20⋊20D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):18C2320,1284
(C5×C4⋊D4)⋊19C2 = C10.422+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):19C2320,1285
(C5×C4⋊D4)⋊20C2 = C10.432+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):20C2320,1286
(C5×C4⋊D4)⋊21C2 = C10.442+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):21C2320,1287
(C5×C4⋊D4)⋊22C2 = C10.452+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):22C2320,1288
(C5×C4⋊D4)⋊23C2 = C10.462+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):23C2320,1289
(C5×C4⋊D4)⋊24C2 = C10.1152+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):24C2320,1290
(C5×C4⋊D4)⋊25C2 = C10.472+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):25C2320,1291
(C5×C4⋊D4)⋊26C2 = C10.482+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):26C2320,1292
(C5×C4⋊D4)⋊27C2 = C10.742- 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):27C2320,1293
(C5×C4⋊D4)⋊28C2 = C5×C22⋊D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):28C2320,948
(C5×C4⋊D4)⋊29C2 = C5×D4⋊D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):29C2320,950
(C5×C4⋊D4)⋊30C2 = C5×C8⋊7D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):30C2320,967
(C5×C4⋊D4)⋊31C2 = C5×C8⋊2D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):31C2320,970
(C5×C4⋊D4)⋊32C2 = C5×C23⋊3D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):32C2320,1536
(C5×C4⋊D4)⋊33C2 = C5×C22.29C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):33C2320,1537
(C5×C4⋊D4)⋊34C2 = C5×C22.31C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):34C2320,1539
(C5×C4⋊D4)⋊35C2 = C5×C22.32C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):35C2320,1540
(C5×C4⋊D4)⋊36C2 = C5×C22.34C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):36C2320,1542
(C5×C4⋊D4)⋊37C2 = C5×D42φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):37C2320,1547
(C5×C4⋊D4)⋊38C2 = C5×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):38C2320,1548
(C5×C4⋊D4)⋊39C2 = C5×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):39C2320,1549
(C5×C4⋊D4)⋊40C2 = C5×Q8⋊5D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):40C2320,1550
(C5×C4⋊D4)⋊41C2 = C5×Q8⋊6D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):41C2320,1552
(C5×C4⋊D4)⋊42C2 = C5×C22.47C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):42C2320,1555
(C5×C4⋊D4)⋊43C2 = C5×C22.49C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):43C2320,1557
(C5×C4⋊D4)⋊44C2 = C5×C22.54C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4):44C2320,1562
(C5×C4⋊D4)⋊45C2 = C5×C22.56C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4):45C2320,1564
(C5×C4⋊D4)⋊46C2 = C5×C22.19C24φ: trivial image80(C5xC4:D4):46C2320,1527
(C5×C4⋊D4)⋊47C2 = C5×C22.26C24φ: trivial image160(C5xC4:D4):47C2320,1534

Non-split extensions G=N.Q with N=C5×C4⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4⋊D4).1C2 = (C2×C10).D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).1C2320,660
(C5×C4⋊D4).2C2 = C4⋊D4.D5φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).2C2320,661
(C5×C4⋊D4).3C2 = (C2×D4).D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).3C2320,662
(C5×C4⋊D4).4C2 = Dic10⋊17D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).4C2320,667
(C5×C4⋊D4).5C2 = C5⋊2C8⋊23D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).5C2320,668
(C5×C4⋊D4).6C2 = C4.(D4×D5)φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).6C2320,669
(C5×C4⋊D4).7C2 = C4⋊C4.178D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).7C2320,1272
(C5×C4⋊D4).8C2 = C10.352+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).8C2320,1274
(C5×C4⋊D4).9C2 = C10.362+ 1+4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).9C2320,1275
(C5×C4⋊D4).10C2 = C4⋊C4⋊Dic5φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4).10C2320,95
(C5×C4⋊D4).11C2 = C5×C22.SD16φ: C2/C1 → C2 ⊆ Out C5×C4⋊D480(C5xC4:D4).11C2320,132
(C5×C4⋊D4).12C2 = C5×Q8⋊D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).12C2320,949
(C5×C4⋊D4).13C2 = C5×C8⋊8D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).13C2320,966
(C5×C4⋊D4).14C2 = C5×C8⋊D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).14C2320,969
(C5×C4⋊D4).15C2 = C5×C22.D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).15C2320,981
(C5×C4⋊D4).16C2 = C5×C23.46D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).16C2320,982
(C5×C4⋊D4).17C2 = C5×C23.19D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).17C2320,983
(C5×C4⋊D4).18C2 = C5×C22.33C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).18C2320,1541
(C5×C4⋊D4).19C2 = C5×C22.36C24φ: C2/C1 → C2 ⊆ Out C5×C4⋊D4160(C5xC4:D4).19C2320,1544
(C5×C4⋊D4).20C2 = C5×C23.36C23φ: trivial image160(C5xC4:D4).20C2320,1531

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁