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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
5
and Q=
C
2
2
×S
3
Direct product G=N×Q with N=
C
5
and Q=
C
2
2
×S
3
d
ρ
Label
ID
S
3
×C
2
×C
10
60
S3xC2xC10
120,45
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
2
×S
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊
1
(C
2
2
×S
3
) =
C
2
×S
3
×D
5
φ:
C
2
2
×S
3
/
D
6
→
C
2
⊆ Aut
C
5
30
4+
C5:1(C2^2xS3)
120,42
C
5
⋊
2
(C
2
2
×S
3
) =
C
2
2
×D
15
φ:
C
2
2
×S
3
/
C
2
×C
6
→
C
2
⊆ Aut
C
5
60
C5:2(C2^2xS3)
120,46
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