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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=
3
-
1+2
and Q=
D
8
Direct product G=NxQ with N=
3
-
1+2
and Q=
D
8
d
ρ
Label
ID
D
8
x3
-
1+2
72
6
D8xES-(3,1)
432,217
Semidirect products G=N:Q with N=
3
-
1+2
and Q=
D
8
extension
φ:Q→Out N
d
ρ
Label
ID
3
-
1+2
:
1
D
8
=
D
72
:C
3
φ:
D
8
/
C
8
→
C
2
⊆ Out
3
-
1+2
72
6+
ES-(3,1):1D8
432,123
3
-
1+2
:
2
D
8
=
D
36
:C
6
φ:
D
8
/
D
4
→
C
2
⊆ Out
3
-
1+2
72
12+
ES-(3,1):2D8
432,155
x
:
Z
F
o
wr
Q
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