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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr
Extensions
1→N→G→Q→1 with N=
C
2
5
and Q=
C
3
Direct product G=NxQ with N=
C
2
5
and Q=
C
3
d
ρ
Label
ID
C
2
4
xC
6
96
C2^4xC6
96,231
Semidirect products G=N:Q with N=
C
2
5
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
5
:
1
C
3
=
C
2
3
xA
4
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
2
5
24
C2^5:1C3
96,228
C
2
5
:
2
C
3
=
C
2
xC
2
2
:A
4
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
2
5
12
C2^5:2C3
96,229
x
:
Z
F
o
wr
Q
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