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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
and Q=
Q
8
xC
10
Direct product G=NxQ with N=
C
3
and Q=
Q
8
xC
10
d
ρ
Label
ID
Q
8
xC
30
240
Q8xC30
240,187
Semidirect products G=N:Q with N=
C
3
and Q=
Q
8
xC
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(Q
8
xC
10
) =
C
10
xDic
6
φ:
Q
8
xC
10
/
C
2
xC
20
→
C
2
⊆ Aut
C
3
240
C3:1(Q8xC10)
240,165
C
3
:
2
(Q
8
xC
10
) =
C
5
xS
3
xQ
8
φ:
Q
8
xC
10
/
C
5
xQ
8
→
C
2
⊆ Aut
C
3
120
4
C3:2(Q8xC10)
240,171
x
:
Z
F
o
wr
Q
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