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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
112
Direct product G=NxQ with N=
C
4
and Q=
C
112
d
ρ
Label
ID
C
4
xC
112
448
C4xC112
448,149
Semidirect products G=N:Q with N=
C
4
and Q=
C
112
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
:C
112
=
C
7
xC
4
:C
16
φ:
C
112
/
C
56
→
C
2
⊆ Aut
C
4
448
C4:C112
448,167
Non-split extensions G=N.Q with N=
C
4
and Q=
C
112
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.C
112
=
C
7
xM
6
(2)
φ:
C
112
/
C
56
→
C
2
⊆ Aut
C
4
224
2
C4.C112
448,174
x
:
Z
F
o
wr
Q
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