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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
and Q=
C
45
Direct product G=N×Q with N=
C
2
2
and Q=
C
45
d
ρ
Label
ID
C
2
×C
90
180
C2xC90
180,12
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
45
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊C
45
=
C
5
×C
3
.A
4
φ:
C
45
/
C
15
→
C
3
⊆ Aut
C
2
2
90
3
C2^2:C45
180,8
×
⋊
ℤ
𝔽
○
≀
ℚ
◁