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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
9
and Q=
C
24
Direct product G=N×Q with N=
D
9
and Q=
C
24
d
ρ
Label
ID
D
9
×C
24
144
2
D9xC24
432,105
Semidirect products G=N:Q with N=
D
9
and Q=
C
24
extension
φ:Q→Out N
d
ρ
Label
ID
D
9
⋊C
24
=
C
8
×C
9
⋊C
6
φ:
C
24
/
C
8
→
C
3
⊆ Out
D
9
72
6
D9:C24
432,120
×
⋊
ℤ
𝔽
○
≀
ℚ
◁