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

Extensions 1→N→G→Q→1 with N=C5 and Q=C22.32C24

Direct product G=NxQ with N=C5 and Q=C22.32C24
dρLabelID
C5xC22.32C2480C5xC2^2.32C2^4320,1540

Semidirect products G=N:Q with N=C5 and Q=C22.32C24
extensionφ:Q→Aut NdρLabelID
C5:1(C22.32C24) = C24.30D10φ: C22.32C24/C2xC22:C4 → C2 ⊆ Aut C580C5:1(C2^2.32C2^4)320,1166
C5:2(C22.32C24) = C42:17D10φ: C22.32C24/C4xD4 → C2 ⊆ Aut C580C5:2(C2^2.32C2^4)320,1232
C5:3(C22.32C24) = C24.35D10φ: C22.32C24/C22wrC2 → C2 ⊆ Aut C580C5:3(C2^2.32C2^4)320,1265
C5:4(C22.32C24) = C10.422+ 1+4φ: C22.32C24/C4:D4 → C2 ⊆ Aut C580C5:4(C2^2.32C2^4)320,1285
C5:5(C22.32C24) = C10.462+ 1+4φ: C22.32C24/C4:D4 → C2 ⊆ Aut C580C5:5(C2^2.32C2^4)320,1289
C5:6(C22.32C24) = C10.562+ 1+4φ: C22.32C24/C22:Q8 → C2 ⊆ Aut C580C5:6(C2^2.32C2^4)320,1316
C5:7(C22.32C24) = C10.612+ 1+4φ: C22.32C24/C22.D4 → C2 ⊆ Aut C580C5:7(C2^2.32C2^4)320,1329
C5:8(C22.32C24) = C42:20D10φ: C22.32C24/C4.4D4 → C2 ⊆ Aut C580C5:8(C2^2.32C2^4)320,1350
C5:9(C22.32C24) = C42:23D10φ: C22.32C24/C42:2C2 → C2 ⊆ Aut C580C5:9(C2^2.32C2^4)320,1376


׿
x
:
Z
F
o
wr
Q
<