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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
45
and Q=
C
3
Direct product G=N×Q with N=
C
45
and Q=
C
3
d
ρ
Label
ID
C
3
×C
45
135
C3xC45
135,2
Semidirect products G=N:Q with N=
C
45
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
45
⋊C
3
=
C
5
×3
-
1+2
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
45
45
3
C45:C3
135,4
×
⋊
ℤ
𝔽
○
≀
ℚ
◁