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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
36
Direct product G=NxQ with N=
C
4
and Q=
C
36
d
ρ
Label
ID
C
4
xC
36
144
C4xC36
144,20
Semidirect products G=N:Q with N=
C
4
and Q=
C
36
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
:C
36
=
C
9
xC
4
:C
4
φ:
C
36
/
C
18
→
C
2
⊆ Aut
C
4
144
C4:C36
144,22
Non-split extensions G=N.Q with N=
C
4
and Q=
C
36
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.C
36
=
C
9
xM
4
(2)
φ:
C
36
/
C
18
→
C
2
⊆ Aut
C
4
72
2
C4.C36
144,24
x
:
Z
F
o
wr
Q
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