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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
6
Direct product G=N×Q with N=
C
9
and Q=
C
6
d
ρ
Label
ID
C
3
×C
18
54
C3xC18
54,9
Semidirect products G=N:Q with N=
C
9
and Q=
C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
⋊C
6
=
C
9
⋊C
6
φ:
C
6
/
C
1
→
C
6
⊆ Aut
C
9
9
6+
C9:C6
54,6
C
9
⋊
2
C
6
=
C
2
×3
-
1+2
φ:
C
6
/
C
2
→
C
3
⊆ Aut
C
9
18
3
C9:2C6
54,11
C
9
⋊
3
C
6
=
C
3
×D
9
φ:
C
6
/
C
3
→
C
2
⊆ Aut
C
9
18
2
C9:3C6
54,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁