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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=
D
21
and Q=
D
4
Direct product G=NxQ with N=
D
21
and Q=
D
4
d
ρ
Label
ID
D
4
xD
21
84
4+
D4xD21
336,198
Semidirect products G=N:Q with N=
D
21
and Q=
D
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
21
:
1
D
4
=
C
28
:D
6
φ:
D
4
/
C
4
→
C
2
⊆ Out
D
21
84
4
D21:1D4
336,150
D
21
:
2
D
4
=
D
6
:D
14
φ:
D
4
/
C
2
2
→
C
2
⊆ Out
D
21
84
4+
D21:2D4
336,163
x
:
Z
F
o
wr
Q
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