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=C22.26C24

Direct product G=NxQ with N=C5 and Q=C22.26C24
dρLabelID
C5xC22.26C24160C5xC2^2.26C2^4320,1534

Semidirect products G=N:Q with N=C5 and Q=C22.26C24
extensionφ:Q→Aut NdρLabelID
C5:1(C22.26C24) = C42.276D10φ: C22.26C24/C2xC42 → C2 ⊆ Aut C5160C5:1(C2^2.26C2^4)320,1149
C5:2(C22.26C24) = C42.228D10φ: C22.26C24/C4xD4 → C2 ⊆ Aut C5160C5:2(C2^2.26C2^4)320,1220
C5:3(C22.26C24) = C20:(C4oD4)φ: C22.26C24/C4:D4 → C2 ⊆ Aut C5160C5:3(C2^2.26C2^4)320,1268
C5:4(C22.26C24) = C42.233D10φ: C22.26C24/C4.4D4 → C2 ⊆ Aut C5160C5:4(C2^2.26C2^4)320,1340
C5:5(C22.26C24) = C42.238D10φ: C22.26C24/C4:1D4 → C2 ⊆ Aut C5160C5:5(C2^2.26C2^4)320,1388
C5:6(C22.26C24) = C42.240D10φ: C22.26C24/C4:Q8 → C2 ⊆ Aut C5160C5:6(C2^2.26C2^4)320,1397
C5:7(C22.26C24) = (C2xC20):17D4φ: C22.26C24/C2xC4oD4 → C2 ⊆ Aut C5160C5:7(C2^2.26C2^4)320,1504


׿
x
:
Z
F
o
wr
Q
<