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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=
S
3
xC
2
3
Direct product G=NxQ with N=
D
5
and Q=
S
3
xC
2
3
d
ρ
Label
ID
S
3
xC
2
3
xD
5
120
S3xC2^3xD5
480,1207
Non-split extensions G=N.Q with N=
D
5
and Q=
S
3
xC
2
3
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
(S
3
xC
2
3
) =
C
2
2
xS
3
xF
5
φ:
S
3
xC
2
3
/
C
2
2
xS
3
→
C
2
⊆ Out
D
5
60
D5.1(S3xC2^3)
480,1197
D
5
.
2
(S
3
xC
2
3
) =
C
2
3
xC
3
:F
5
φ:
S
3
xC
2
3
/
C
2
2
xC
6
→
C
2
⊆ Out
D
5
120
D5.2(S3xC2^3)
480,1206
x
:
Z
F
o
wr
Q
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