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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
10
and Q=
C
9
Direct product G=N×Q with N=
C
2
2
×C
10
and Q=
C
9
d
ρ
Label
ID
C
2
2
×C
90
360
C2^2xC90
360,50
Semidirect products G=N:Q with N=
C
2
2
×C
10
and Q=
C
9
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
2
×C
10
)⋊C
9
=
C
10
×C
3
.A
4
φ:
C
9
/
C
3
→
C
3
⊆ Aut
C
2
2
×C
10
90
3
(C2^2xC10):C9
360,46
×
⋊
ℤ
𝔽
○
≀
ℚ
◁