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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
4
and Q=
C
9
Direct product G=N×Q with N=
C
2
2
×C
4
and Q=
C
9
d
ρ
Label
ID
C
2
2
×C
36
144
C2^2xC36
144,47
Semidirect products G=N:Q with N=
C
2
2
×C
4
and Q=
C
9
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
2
×C
4
)⋊C
9
=
C
4
×C
3
.A
4
φ:
C
9
/
C
3
→
C
3
⊆ Aut
C
2
2
×C
4
36
3
(C2^2xC4):C9
144,34
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ℤ
𝔽
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ℚ
◁