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=C8.C4

Direct product G=NxQ with N=C5 and Q=C8.C4
dρLabelID
C5xC8.C4802C5xC8.C4160,58

Semidirect products G=N:Q with N=C5 and Q=C8.C4
extensionφ:Q→Aut NdρLabelID
C5:1(C8.C4) = C40.C4φ: C8.C4/C8 → C4 ⊆ Aut C5804C5:1(C8.C4)160,70
C5:2(C8.C4) = D10.Q8φ: C8.C4/C8 → C4 ⊆ Aut C5804C5:2(C8.C4)160,71
C5:3(C8.C4) = C40.6C4φ: C8.C4/C2xC8 → C2 ⊆ Aut C5802C5:3(C8.C4)160,26
C5:4(C8.C4) = C20.53D4φ: C8.C4/M4(2) → C2 ⊆ Aut C5804C5:4(C8.C4)160,29


׿
x
:
Z
F
o
wr
Q
<