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=C4:C16

Direct product G=NxQ with N=C5 and Q=C4:C16
dρLabelID
C5xC4:C16320C5xC4:C16320,168

Semidirect products G=N:Q with N=C5 and Q=C4:C16
extensionφ:Q→Aut NdρLabelID
C5:1(C4:C16) = C20:C16φ: C4:C16/C42 → C4 ⊆ Aut C5320C5:1(C4:C16)320,196
C5:2(C4:C16) = C10.M5(2)φ: C4:C16/C2xC8 → C4 ⊆ Aut C5320C5:2(C4:C16)320,226
C5:3(C4:C16) = C20:3C16φ: C4:C16/C4xC8 → C2 ⊆ Aut C5320C5:3(C4:C16)320,20
C5:4(C4:C16) = C40.88D4φ: C4:C16/C2xC16 → C2 ⊆ Aut C5320C5:4(C4:C16)320,59


׿
x
:
Z
F
o
wr
Q
<