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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
3
and Q=
C
2
3
xD
7
Direct product G=NxQ with N=
C
3
and Q=
C
2
3
xD
7
d
ρ
Label
ID
D
7
xC
2
2
xC
6
168
D7xC2^2xC6
336,225
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
3
xD
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
2
3
xD
7
) =
C
2
2
xS
3
xD
7
φ:
C
2
3
xD
7
/
C
2
2
xD
7
→
C
2
⊆ Aut
C
3
84
C3:1(C2^3xD7)
336,219
C
3
:
2
(C
2
3
xD
7
) =
C
2
3
xD
21
φ:
C
2
3
xD
7
/
C
2
2
xC
14
→
C
2
⊆ Aut
C
3
168
C3:2(C2^3xD7)
336,227
x
:
Z
F
o
wr
Q
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