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About
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
5
and Q=
C
84
Direct product G=NxQ with N=
C
5
and Q=
C
84
d
ρ
Label
ID
C
420
420
1
C420
420,12
Semidirect products G=N:Q with N=
C
5
and Q=
C
84
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:C
84
=
F
5
xC
21
φ:
C
84
/
C
21
→
C
4
⊆ Aut
C
5
105
4
C5:C84
420,20
C
5
:
2
C
84
=
Dic
5
xC
21
φ:
C
84
/
C
42
→
C
2
⊆ Aut
C
5
420
2
C5:2C84
420,6
x
:
Z
F
o
wr
Q
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