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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=
D
5
:C
16
Direct product G=NxQ with N=
C
3
and Q=
D
5
:C
16
d
ρ
Label
ID
C
3
xD
5
:C
16
240
4
C3xD5:C16
480,269
Semidirect products G=N:Q with N=
C
3
and Q=
D
5
:C
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(D
5
:C
16
) =
D
15
:C
16
φ:
D
5
:C
16
/
C
5
:C
16
→
C
2
⊆ Aut
C
3
240
8
C3:1(D5:C16)
480,240
C
3
:
2
(D
5
:C
16
) =
C
24
.F
5
φ:
D
5
:C
16
/
C
8
xD
5
→
C
2
⊆ Aut
C
3
240
4
C3:2(D5:C16)
480,294
x
:
Z
F
o
wr
Q
<