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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
9
and Q=
C
3
Direct product G=N×Q with N=
S
3
×D
9
and Q=
C
3
d
ρ
Label
ID
C
3
×S
3
×D
9
36
4
C3xS3xD9
324,114
Semidirect products G=N:Q with N=
S
3
×D
9
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×D
9
)⋊C
3
=
S
3
×C
9
⋊C
6
φ:
C
3
/
C
1
→
C
3
⊆ Out
S
3
×D
9
18
12+
(S3xD9):C3
324,118
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𝔽
○
≀
ℚ
◁