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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
3
and Q=
C
2
3
.C
8
Direct product G=NxQ with N=
C
3
and Q=
C
2
3
.C
8
d
ρ
Label
ID
C
3
xC
2
3
.C
8
48
4
C3xC2^3.C8
192,155
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
3
.C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
2
3
.C
8
) =
C
8
.
25
D
12
φ:
C
2
3
.C
8
/
M
5
(2)
→
C
2
⊆ Aut
C
3
48
4
C3:1(C2^3.C8)
192,73
C
3
:
2
(C
2
3
.C
8
) =
C
24
.D
4
φ:
C
2
3
.C
8
/
C
2
xM
4
(2)
→
C
2
⊆ Aut
C
3
48
4
C3:2(C2^3.C8)
192,112
x
:
Z
F
o
wr
Q
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