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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=
S
3
×D
15
and Q=
C
2
Direct product G=N×Q with N=
S
3
×D
15
and Q=
C
2
d
ρ
Label
ID
C
2
×S
3
×D
15
60
4+
C2xS3xD15
360,154
Semidirect products G=N:Q with N=
S
3
×D
15
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×D
15
)⋊C
2
=
S
3
2
×D
5
φ:
C
2
/
C
1
→
C
2
⊆ Out
S
3
×D
15
30
8+
(S3xD15):C2
360,137
×
⋊
ℤ
𝔽
○
≀
ℚ
◁