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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
2
and Q=
C
9
Direct product G=N×Q with N=
C
3
2
and Q=
C
9
d
ρ
Label
ID
C
3
2
×C
9
81
C3^2xC9
81,11
Semidirect products G=N:Q with N=
C
3
2
and Q=
C
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
⋊C
9
=
C
3
2
⋊C
9
φ:
C
9
/
C
3
→
C
3
⊆ Aut
C
3
2
27
C3^2:C9
81,3
Non-split extensions G=N.Q with N=
C
3
2
and Q=
C
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
.C
9
=
C
27
⋊C
3
φ:
C
9
/
C
3
→
C
3
⊆ Aut
C
3
2
27
3
C3^2.C9
81,6
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𝔽
○
≀
ℚ
◁