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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
≀C
2
and Q=
C
9
Direct product G=N×Q with N=
C
2
2
≀C
2
and Q=
C
9
d
ρ
Label
ID
C
9
×C
2
2
≀C
2
72
C9xC2^2wrC2
288,170
Semidirect products G=N:Q with N=
C
2
2
≀C
2
and Q=
C
9
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
2
≀C
2
⋊C
9
=
C
2
4
⋊C
18
φ:
C
9
/
C
3
→
C
3
⊆ Out
C
2
2
≀C
2
36
6
C2^2wrC2:C9
288,73
×
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𝔽
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◁