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

Extensions 1→N→G→Q→1 with N=D20.3C4 and Q=C2

Direct product G=NxQ with N=D20.3C4 and Q=C2
dρLabelID
C2xD20.3C4160C2xD20.3C4320,1410

Semidirect products G=N:Q with N=D20.3C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D20.3C4:1C2 = C40.23D4φ: C2/C1 → C2 ⊆ Out D20.3C4804D20.3C4:1C2320,787
D20.3C4:2C2 = D8:13D10φ: C2/C1 → C2 ⊆ Out D20.3C4804D20.3C4:2C2320,1429
D20.3C4:3C2 = D20.30D4φ: C2/C1 → C2 ⊆ Out D20.3C41604D20.3C4:3C2320,1438
D20.3C4:4C2 = C40.44D4φ: C2/C1 → C2 ⊆ Out D20.3C4804D20.3C4:4C2320,804
D20.3C4:5C2 = D20.29D4φ: C2/C1 → C2 ⊆ Out D20.3C4804D20.3C4:5C2320,1434
D20.3C4:6C2 = C8.21D20φ: C2/C1 → C2 ⊆ Out D20.3C4804+D20.3C4:6C2320,524
D20.3C4:7C2 = D8:15D10φ: C2/C1 → C2 ⊆ Out D20.3C4804+D20.3C4:7C2320,1441
D20.3C4:8C2 = D20.47D4φ: C2/C1 → C2 ⊆ Out D20.3C41604-D20.3C4:8C2320,1443
D20.3C4:9C2 = C8.24D20φ: C2/C1 → C2 ⊆ Out D20.3C4804D20.3C4:9C2320,525
D20.3C4:10C2 = D8:11D10φ: C2/C1 → C2 ⊆ Out D20.3C4804D20.3C4:10C2320,1442
D20.3C4:11C2 = D40:17C4φ: C2/C1 → C2 ⊆ Out D20.3C4802D20.3C4:11C2320,327
D20.3C4:12C2 = D40:10C4φ: C2/C1 → C2 ⊆ Out D20.3C4804D20.3C4:12C2320,344
D20.3C4:13C2 = C40.93D4φ: C2/C1 → C2 ⊆ Out D20.3C4804D20.3C4:13C2320,771
D20.3C4:14C2 = C40.50D4φ: C2/C1 → C2 ⊆ Out D20.3C4804D20.3C4:14C2320,772
D20.3C4:15C2 = C40.47C23φ: C2/C1 → C2 ⊆ Out D20.3C4804D20.3C4:15C2320,1417
D20.3C4:16C2 = D5xC8oD4φ: C2/C1 → C2 ⊆ Out D20.3C4804D20.3C4:16C2320,1421
D20.3C4:17C2 = C20.72C24φ: C2/C1 → C2 ⊆ Out D20.3C4804D20.3C4:17C2320,1422

Non-split extensions G=N.Q with N=D20.3C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D20.3C4.1C2 = C40.29D4φ: C2/C1 → C2 ⊆ Out D20.3C41604D20.3C4.1C2320,819
D20.3C4.2C2 = C8.20D20φ: C2/C1 → C2 ⊆ Out D20.3C41604-D20.3C4.2C2320,523
D20.3C4.3C2 = D20.3C8φ: C2/C1 → C2 ⊆ Out D20.3C41602D20.3C4.3C2320,66
D20.3C4.4C2 = D20.4C8φ: C2/C1 → C2 ⊆ Out D20.3C41604D20.3C4.4C2320,73
D20.3C4.5C2 = D20.5C8φ: C2/C1 → C2 ⊆ Out D20.3C41604D20.3C4.5C2320,534
D20.3C4.6C2 = D20.6C8φ: trivial image1602D20.3C4.6C2320,528

׿
x
:
Z
F
o
wr
Q
<