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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
2
2
×S
3
and Q=
C
9
Direct product G=N×Q with N=
C
2
2
×S
3
and Q=
C
9
d
ρ
Label
ID
S
3
×C
2
×C
18
72
S3xC2xC18
216,109
Semidirect products G=N:Q with N=
C
2
2
×S
3
and Q=
C
9
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
2
×S
3
)⋊C
9
=
S
3
×C
3
.A
4
φ:
C
9
/
C
3
→
C
3
⊆ Out
C
2
2
×S
3
36
6
(C2^2xS3):C9
216,98
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⋊
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𝔽
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ℚ
◁