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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=
Dic
5
Direct product G=N×Q with N=
C
3
×S
3
and Q=
Dic
5
d
ρ
Label
ID
C
3
×S
3
×Dic
5
120
4
C3xS3xDic5
360,59
Semidirect products G=N:Q with N=
C
3
×S
3
and Q=
Dic
5
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×S
3
)⋊Dic
5
=
S
3
×Dic
15
φ:
Dic
5
/
C
10
→
C
2
⊆ Out
C
3
×S
3
120
4-
(C3xS3):Dic5
360,78
×
⋊
ℤ
𝔽
○
≀
ℚ
◁