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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
2
4
and Q=
C
9
Direct product G=N×Q with N=
C
2
4
and Q=
C
9
d
ρ
Label
ID
C
2
3
×C
18
144
C2^3xC18
144,113
Semidirect products G=N:Q with N=
C
2
4
and Q=
C
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
4
⋊
1
C
9
=
C
2
2
×C
3
.A
4
φ:
C
9
/
C
3
→
C
3
⊆ Aut
C
2
4
36
C2^4:1C9
144,110
C
2
4
⋊
2
C
9
=
C
2
4
⋊C
9
φ:
C
9
/
C
3
→
C
3
⊆ Aut
C
2
4
36
C2^4:2C9
144,111
×
⋊
ℤ
𝔽
○
≀
ℚ
◁