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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
7
xM
4
(2)
and Q=
C
3
Direct product G=NxQ with N=
C
7
xM
4
(2)
and Q=
C
3
d
ρ
Label
ID
M
4
(2)xC
21
168
2
M4(2)xC21
336,110
Semidirect products G=N:Q with N=
C
7
xM
4
(2)
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
7
xM
4
(2)):C
3
=
M
4
(2)xC
7
:C
3
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
7
xM
4
(2)
56
6
(C7xM4(2)):C3
336,52
x
:
Z
F
o
wr
Q
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