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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
:C
3
and Q=
C
2
4
Direct product G=NxQ with N=
C
7
:C
3
and Q=
C
2
4
d
ρ
Label
ID
C
2
4
xC
7
:C
3
112
C2^4xC7:C3
336,220
Semidirect products G=N:Q with N=
C
7
:C
3
and Q=
C
2
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
:C
3
:C
2
4
=
C
2
3
xF
7
φ:
C
2
4
/
C
2
3
→
C
2
⊆ Out
C
7
:C
3
56
C7:C3:C2^4
336,216
x
:
Z
F
o
wr
Q
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