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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
32
Direct product G=NxQ with N=
C
4
and Q=
C
32
d
ρ
Label
ID
C
4
xC
32
128
C4xC32
128,128
Semidirect products G=N:Q with N=
C
4
and Q=
C
32
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
:C
32
=
C
4
:C
32
φ:
C
32
/
C
16
→
C
2
⊆ Aut
C
4
128
C4:C32
128,153
Non-split extensions G=N.Q with N=
C
4
and Q=
C
32
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.C
32
=
M
7
(2)
φ:
C
32
/
C
16
→
C
2
⊆ Aut
C
4
64
2
C4.C32
128,160
x
:
Z
F
o
wr
Q
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