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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
2
2
×S
3
and Q=
C
15
Direct product G=N×Q with N=
C
2
2
×S
3
and Q=
C
15
d
ρ
Label
ID
S
3
×C
2
×C
30
120
S3xC2xC30
360,158
Semidirect products G=N:Q with N=
C
2
2
×S
3
and Q=
C
15
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
2
×S
3
)⋊C
15
=
C
5
×S
3
×A
4
φ:
C
15
/
C
5
→
C
3
⊆ Out
C
2
2
×S
3
60
6
(C2^2xS3):C15
360,143
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