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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=
C
2
×C
8
Direct product G=N×Q with N=
C
9
and Q=
C
2
×C
8
d
ρ
Label
ID
C
2
×C
72
144
C2xC72
144,23
Semidirect products G=N:Q with N=
C
9
and Q=
C
2
×C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
⋊
1
(C
2
×C
8
) =
C
8
×D
9
φ:
C
2
×C
8
/
C
8
→
C
2
⊆ Aut
C
9
72
2
C9:1(C2xC8)
144,5
C
9
⋊
2
(C
2
×C
8
) =
C
2
×C
9
⋊C
8
φ:
C
2
×C
8
/
C
2
×C
4
→
C
2
⊆ Aut
C
9
144
C9:2(C2xC8)
144,9
×
⋊
ℤ
𝔽
○
≀
ℚ
◁