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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
7
and Q=
C
15
Direct product G=NxQ with N=
D
7
and Q=
C
15
d
ρ
Label
ID
D
7
xC
15
105
2
D7xC15
210,5
Semidirect products G=N:Q with N=
D
7
and Q=
C
15
extension
φ:Q→Out N
d
ρ
Label
ID
D
7
:C
15
=
C
5
xF
7
φ:
C
15
/
C
5
→
C
3
⊆ Out
D
7
35
6
D7:C15
210,1
x
:
Z
F
o
wr
Q
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