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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=
He
3
.
2
S
3
and Q=
C
3
Direct product G=N×Q with N=
He
3
.
2
S
3
and Q=
C
3
d
ρ
Label
ID
C
3
×He
3
.
2
S
3
54
6
C3xHe3.2S3
486,122
Semidirect products G=N:Q with N=
He
3
.
2
S
3
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
He
3
.
2
S
3
⋊C
3
=
He
3
.(C
3
×S
3
)
φ:
C
3
/
C
1
→
C
3
⊆ Out
He
3
.
2
S
3
27
18+
He3.2S3:C3
486,131
×
⋊
ℤ
𝔽
○
≀
ℚ
◁