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

Extensions 1→N→G→Q→1 with N=C12.26D6 and Q=C2

Direct product G=NxQ with N=C12.26D6 and Q=C2
dρLabelID
C2xC12.26D6144C2xC12.26D6288,1011

Semidirect products G=N:Q with N=C12.26D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.26D6:1C2 = D12.10D6φ: C2/C1 → C2 ⊆ Out C12.26D6488+C12.26D6:1C2288,589
C12.26D6:2C2 = D12.14D6φ: C2/C1 → C2 ⊆ Out C12.26D6488+C12.26D6:2C2288,598
C12.26D6:3C2 = C24:7D6φ: C2/C1 → C2 ⊆ Out C12.26D672C12.26D6:3C2288,771
C12.26D6:4C2 = C24.40D6φ: C2/C1 → C2 ⊆ Out C12.26D6144C12.26D6:4C2288,773
C12.26D6:5C2 = C24.28D6φ: C2/C1 → C2 ⊆ Out C12.26D6144C12.26D6:5C2288,776
C12.26D6:6C2 = Dic6.26D6φ: C2/C1 → C2 ⊆ Out C12.26D6488+C12.26D6:6C2288,964
C12.26D6:7C2 = S3xQ8:3S3φ: C2/C1 → C2 ⊆ Out C12.26D6488+C12.26D6:7C2288,966
C12.26D6:8C2 = D12:16D6φ: C2/C1 → C2 ⊆ Out C12.26D6488+C12.26D6:8C2288,968
C12.26D6:9C2 = C32:72- 1+4φ: C2/C1 → C2 ⊆ Out C12.26D6144C12.26D6:9C2288,1012
C12.26D6:10C2 = C62.154C23φ: C2/C1 → C2 ⊆ Out C12.26D672C12.26D6:10C2288,1014
C12.26D6:11C2 = C4oD4xC3:S3φ: trivial image72C12.26D6:11C2288,1013

Non-split extensions G=N.Q with N=C12.26D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.26D6.1C2 = C32:7C4wrC2φ: C2/C1 → C2 ⊆ Out C12.26D6488+C12.26D6.1C2288,433
C12.26D6.2C2 = Dic6.10D6φ: C2/C1 → C2 ⊆ Out C12.26D6488+C12.26D6.2C2288,593
C12.26D6.3C2 = C24.35D6φ: C2/C1 → C2 ⊆ Out C12.26D6144C12.26D6.3C2288,775
C12.26D6.4C2 = C12:S3.C4φ: C2/C1 → C2 ⊆ Out C12.26D6488+C12.26D6.4C2288,937

׿
x
:
Z
F
o
wr
Q
<