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=C2xC4.Dic3

Direct product G=NxQ with N=C5 and Q=C2xC4.Dic3
dρLabelID
C10xC4.Dic3240C10xC4.Dic3480,800

Semidirect products G=N:Q with N=C5 and Q=C2xC4.Dic3
extensionφ:Q→Aut NdρLabelID
C5:1(C2xC4.Dic3) = C2xC12.F5φ: C2xC4.Dic3/C2xC12 → C4 ⊆ Aut C5240C5:1(C2xC4.Dic3)480,1061
C5:2(C2xC4.Dic3) = C60.59(C2xC4)φ: C2xC4.Dic3/C2xC12 → C4 ⊆ Aut C51204C5:2(C2xC4.Dic3)480,1062
C5:3(C2xC4.Dic3) = C2xC15:8M4(2)φ: C2xC4.Dic3/C22xC6 → C4 ⊆ Aut C5240C5:3(C2xC4.Dic3)480,1071
C5:4(C2xC4.Dic3) = C2xC20.32D6φ: C2xC4.Dic3/C2xC3:C8 → C2 ⊆ Aut C5240C5:4(C2xC4.Dic3)480,369
C5:5(C2xC4.Dic3) = D5xC4.Dic3φ: C2xC4.Dic3/C4.Dic3 → C2 ⊆ Aut C51204C5:5(C2xC4.Dic3)480,358
C5:6(C2xC4.Dic3) = C2xC60.7C4φ: C2xC4.Dic3/C22xC12 → C2 ⊆ Aut C5240C5:6(C2xC4.Dic3)480,886


׿
x
:
Z
F
o
wr
Q
<