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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
3
and Q=
C
144
Direct product G=N×Q with N=
C
3
and Q=
C
144
d
ρ
Label
ID
C
3
×C
144
432
C3xC144
432,34
Semidirect products G=N:Q with N=
C
3
and Q=
C
144
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊C
144
=
C
9
×C
3
⋊C
16
φ:
C
144
/
C
72
→
C
2
⊆ Aut
C
3
144
2
C3:C144
432,29
×
⋊
ℤ
𝔽
○
≀
ℚ
◁