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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
5
and Q=
C
3
xQ
16
Direct product G=NxQ with N=
D
5
and Q=
C
3
xQ
16
d
ρ
Label
ID
C
3
xD
5
xQ
16
240
4
C3xD5xQ16
480,710
Non-split extensions G=N.Q with N=
D
5
and Q=
C
3
xQ
16
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
(C
3
xQ
16
) =
C
3
xD
5
.D
8
φ:
C
3
xQ
16
/
C
24
→
C
2
⊆ Out
D
5
120
4
D5.1(C3xQ16)
480,274
D
5
.
2
(C
3
xQ
16
) =
C
3
xQ
8
:F
5
φ:
C
3
xQ
16
/
C
3
xQ
8
→
C
2
⊆ Out
D
5
120
8
D5.2(C3xQ16)
480,289
x
:
Z
F
o
wr
Q
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