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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
9
and Q=
D
8
Direct product G=N×Q with N=
C
9
and Q=
D
8
d
ρ
Label
ID
C
9
×D
8
72
2
C9xD8
144,25
Semidirect products G=N:Q with N=
C
9
and Q=
D
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
⋊
1
D
8
=
D
72
φ:
D
8
/
C
8
→
C
2
⊆ Aut
C
9
72
2+
C9:1D8
144,8
C
9
⋊
2
D
8
=
D
4
⋊D
9
φ:
D
8
/
D
4
→
C
2
⊆ Aut
C
9
72
4+
C9:2D8
144,16
×
⋊
ℤ
𝔽
○
≀
ℚ
◁