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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
8
.C
4
Direct product G=N×Q with N=
C
9
and Q=
C
8
.C
4
d
ρ
Label
ID
C
9
×C
8
.C
4
144
2
C9xC8.C4
288,58
Semidirect products G=N:Q with N=
C
9
and Q=
C
8
.C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
⋊
1
(C
8
.C
4
) =
C
72
.C
4
φ:
C
8
.C
4
/
C
2
×C
8
→
C
2
⊆ Aut
C
9
144
2
C9:1(C8.C4)
288,20
C
9
⋊
2
(C
8
.C
4
) =
C
36
.
53
D
4
φ:
C
8
.C
4
/
M
4
(2)
→
C
2
⊆ Aut
C
9
144
4
C9:2(C8.C4)
288,29
×
⋊
ℤ
𝔽
○
≀
ℚ
◁