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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
4
and Q=
C
3
xC
6
Direct product G=NxQ with N=
C
4
and Q=
C
3
xC
6
d
ρ
Label
ID
C
6
xC
12
72
C6xC12
72,36
Semidirect products G=N:Q with N=
C
4
and Q=
C
3
xC
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
:(C
3
xC
6
) =
D
4
xC
3
2
φ:
C
3
xC
6
/
C
3
2
→
C
2
⊆ Aut
C
4
36
C4:(C3xC6)
72,37
Non-split extensions G=N.Q with N=
C
4
and Q=
C
3
xC
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.(C
3
xC
6
) =
Q
8
xC
3
2
φ:
C
3
xC
6
/
C
3
2
→
C
2
⊆ Aut
C
4
72
C4.(C3xC6)
72,38
x
:
Z
F
o
wr
Q
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