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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=
A
4
Direct product G=N×Q with N=
C
9
and Q=
A
4
d
ρ
Label
ID
C
9
×A
4
36
3
C9xA4
108,18
Semidirect products G=N:Q with N=
C
9
and Q=
A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
⋊A
4
=
C
9
⋊A
4
φ:
A
4
/
C
2
2
→
C
3
⊆ Aut
C
9
36
3
C9:A4
108,19
Non-split extensions G=N.Q with N=
C
9
and Q=
A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
.A
4
=
C
9
.A
4
central extension (φ=1)
54
3
C9.A4
108,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁