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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=
D
45
and Q=
C
4
Direct product G=N×Q with N=
D
45
and Q=
C
4
d
ρ
Label
ID
C
4
×D
45
180
2
C4xD45
360,26
Semidirect products G=N:Q with N=
D
45
and Q=
C
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
45
⋊C
4
=
D
9
×F
5
φ:
C
4
/
C
1
→
C
4
⊆ Out
D
45
45
8+
D45:C4
360,39
D
45
⋊
2
C
4
=
D
90
.C
2
φ:
C
4
/
C
2
→
C
2
⊆ Out
D
45
180
4+
D45:2C4
360,9
×
⋊
ℤ
𝔽
○
≀
ℚ
◁