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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
xC
12
and Q=
C
3
Direct product G=NxQ with N=
C
4
xC
12
and Q=
C
3
d
ρ
Label
ID
C
12
2
144
C12^2
144,101
Semidirect products G=N:Q with N=
C
4
xC
12
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
4
xC
12
):C
3
=
C
3
xC
4
2
:C
3
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
4
xC
12
36
3
(C4xC12):C3
144,68
Non-split extensions G=N.Q with N=
C
4
xC
12
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
4
xC
12
).C
3
=
C
4
2
:C
9
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
4
xC
12
36
3
(C4xC12).C3
144,3
x
:
Z
F
o
wr
Q
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