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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
xD
7
and Q=
D
5
Direct product G=NxQ with N=
C
3
xD
7
and Q=
D
5
d
ρ
Label
ID
C
3
xD
5
xD
7
105
4
C3xD5xD7
420,24
Semidirect products G=N:Q with N=
C
3
xD
7
and Q=
D
5
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
xD
7
):D
5
=
D
7
xD
15
φ:
D
5
/
C
5
→
C
2
⊆ Out
C
3
xD
7
105
4+
(C3xD7):D5
420,26
x
:
Z
F
o
wr
Q
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