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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
5
and Q=
C
36
Direct product G=N×Q with N=
C
5
and Q=
C
36
d
ρ
Label
ID
C
180
180
1
C180
180,4
Semidirect products G=N:Q with N=
C
5
and Q=
C
36
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊C
36
=
C
9
×F
5
φ:
C
36
/
C
9
→
C
4
⊆ Aut
C
5
45
4
C5:C36
180,5
C
5
⋊
2
C
36
=
C
9
×Dic
5
φ:
C
36
/
C
18
→
C
2
⊆ Aut
C
5
180
2
C5:2C36
180,2
×
⋊
ℤ
𝔽
○
≀
ℚ
◁