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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
2
.
5
He
3
and Q=
C
2
Direct product G=N×Q with N=
C
3
2
.
5
He
3
and Q=
C
2
d
ρ
Label
ID
C
2
×C
3
2
.
5
He
3
54
9
C2xC3^2.5He3
486,89
Semidirect products G=N:Q with N=
C
3
2
.
5
He
3
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
2
.
5
He
3
⋊C
2
=
C
9
⋊C
9
.
3
S
3
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
3
2
.
5
He
3
27
18+
C3^2.5He3:C2
486,40
×
⋊
ℤ
𝔽
○
≀
ℚ
◁