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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
48
Direct product G=NxQ with N=
C
4
and Q=
C
48
d
ρ
Label
ID
C
4
xC
48
192
C4xC48
192,151
Semidirect products G=N:Q with N=
C
4
and Q=
C
48
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
:C
48
=
C
3
xC
4
:C
16
φ:
C
48
/
C
24
→
C
2
⊆ Aut
C
4
192
C4:C48
192,169
Non-split extensions G=N.Q with N=
C
4
and Q=
C
48
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.C
48
=
C
3
xM
6
(2)
φ:
C
48
/
C
24
→
C
2
⊆ Aut
C
4
96
2
C4.C48
192,176
x
:
Z
F
o
wr
Q
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