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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
5
xS
3
and Q=
D
5
Direct product G=NxQ with N=
C
5
xS
3
and Q=
D
5
d
ρ
Label
ID
C
5
xS
3
xD
5
30
4
C5xS3xD5
300,37
Semidirect products G=N:Q with N=
C
5
xS
3
and Q=
D
5
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xS
3
):D
5
=
S
3
xC
5
:D
5
φ:
D
5
/
C
5
→
C
2
⊆ Out
C
5
xS
3
75
(C5xS3):D5
300,38
Non-split extensions G=N.Q with N=
C
5
xS
3
and Q=
D
5
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xS
3
).D
5
=
S
3
xD
25
φ:
D
5
/
C
5
→
C
2
⊆ Out
C
5
xS
3
75
4+
(C5xS3).D5
300,7
x
:
Z
F
o
wr
Q
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