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

Extensions 1→N→G→Q→1 with N=C5xC42.C2 and Q=C2

Direct product G=NxQ with N=C5xC42.C2 and Q=C2
dρLabelID
C10xC42.C2320C10xC4^2.C2320,1529

Semidirect products G=N:Q with N=C5xC42.C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xC42.C2):1C2 = D20.4Q8φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):1C2320,693
(C5xC42.C2):2C2 = C42.70D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):2C2320,694
(C5xC42.C2):3C2 = C42.216D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):3C2320,695
(C5xC42.C2):4C2 = D5xC42.C2φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):4C2320,1359
(C5xC42.C2):5C2 = C42.236D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):5C2320,1360
(C5xC42.C2):6C2 = C42.148D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):6C2320,1361
(C5xC42.C2):7C2 = D20:7Q8φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):7C2320,1362
(C5xC42.C2):8C2 = C42.237D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):8C2320,1363
(C5xC42.C2):9C2 = C42.150D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):9C2320,1364
(C5xC42.C2):10C2 = C42.151D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):10C2320,1365
(C5xC42.C2):11C2 = C42.152D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):11C2320,1366
(C5xC42.C2):12C2 = C42.153D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):12C2320,1367
(C5xC42.C2):13C2 = C42.154D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):13C2320,1368
(C5xC42.C2):14C2 = C42.155D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):14C2320,1369
(C5xC42.C2):15C2 = C42.156D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):15C2320,1370
(C5xC42.C2):16C2 = C42.157D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):16C2320,1371
(C5xC42.C2):17C2 = C42.158D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):17C2320,1372
(C5xC42.C2):18C2 = C5xD4.Q8φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):18C2320,979
(C5xC42.C2):19C2 = C5xC42.78C22φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):19C2320,989
(C5xC42.C2):20C2 = C5xC42.29C22φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):20C2320,991
(C5xC42.C2):21C2 = C5xC22.33C24φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):21C2320,1541
(C5xC42.C2):22C2 = C5xC22.34C24φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):22C2320,1542
(C5xC42.C2):23C2 = C5xC22.35C24φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):23C2320,1543
(C5xC42.C2):24C2 = C5xC23.41C23φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):24C2320,1546
(C5xC42.C2):25C2 = C5xC22.46C24φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):25C2320,1554
(C5xC42.C2):26C2 = C5xC22.47C24φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):26C2320,1555
(C5xC42.C2):27C2 = C5xD4:3Q8φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):27C2320,1556
(C5xC42.C2):28C2 = C5xC22.56C24φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):28C2320,1564
(C5xC42.C2):29C2 = C5xC22.57C24φ: C2/C1 → C2 ⊆ Out C5xC42.C2160(C5xC4^2.C2):29C2320,1565
(C5xC42.C2):30C2 = C5xC23.36C23φ: trivial image160(C5xC4^2.C2):30C2320,1531
(C5xC42.C2):31C2 = C5xC23.37C23φ: trivial image160(C5xC4^2.C2):31C2320,1535

Non-split extensions G=N.Q with N=C5xC42.C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xC42.C2).1C2 = Dic10.4Q8φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).1C2320,690
(C5xC42.C2).2C2 = C42.215D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).2C2320,691
(C5xC42.C2).3C2 = C42.68D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).3C2320,692
(C5xC42.C2).4C2 = C42.71D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).4C2320,696
(C5xC42.C2).5C2 = Dic10:7Q8φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).5C2320,1357
(C5xC42.C2).6C2 = C42.147D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).6C2320,1358
(C5xC42.C2).7C2 = C42.8D10φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).7C2320,101
(C5xC42.C2).8C2 = C5xC42.2C22φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).8C2320,135
(C5xC42.C2).9C2 = C5xQ8.Q8φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).9C2320,980
(C5xC42.C2).10C2 = C5xC42.30C22φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).10C2320,992
(C5xC42.C2).11C2 = C5xC8.5Q8φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).11C2320,1000
(C5xC42.C2).12C2 = C5xC8:Q8φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).12C2320,1002
(C5xC42.C2).13C2 = C5xQ8:3Q8φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).13C2320,1559
(C5xC42.C2).14C2 = C5xC22.58C24φ: C2/C1 → C2 ⊆ Out C5xC42.C2320(C5xC4^2.C2).14C2320,1566

׿
x
:
Z
F
o
wr
Q
<