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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
3
×S
3
and Q=
D
5
Direct product G=N×Q with N=
C
3
×S
3
and Q=
D
5
d
ρ
Label
ID
C
3
×S
3
×D
5
30
4
C3xS3xD5
180,26
Semidirect products G=N:Q with N=
C
3
×S
3
and Q=
D
5
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×S
3
)⋊D
5
=
S
3
×D
15
φ:
D
5
/
C
5
→
C
2
⊆ Out
C
3
×S
3
30
4+
(C3xS3):D5
180,29
×
⋊
ℤ
𝔽
○
≀
ℚ
◁