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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
xQ
8
Direct product G=NxQ with N=
C
7
:C
3
and Q=
C
2
xQ
8
d
ρ
Label
ID
C
2
xQ
8
xC
7
:C
3
112
C2xQ8xC7:C3
336,166
Semidirect products G=N:Q with N=
C
7
:C
3
and Q=
C
2
xQ
8
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
:C
3
:
1
(C
2
xQ
8
) =
C
2
xC
4
.F
7
φ:
C
2
xQ
8
/
C
2
xC
4
→
C
2
⊆ Out
C
7
:C
3
112
C7:C3:1(C2xQ8)
336,121
C
7
:C
3
:
2
(C
2
xQ
8
) =
Q
8
xF
7
φ:
C
2
xQ
8
/
Q
8
→
C
2
⊆ Out
C
7
:C
3
56
12-
C7:C3:2(C2xQ8)
336,127
x
:
Z
F
o
wr
Q
<