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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
9
2
Direct product G=N×Q with N=
C
3
and Q=
C
9
2
d
ρ
Label
ID
C
3
×C
9
2
243
C3xC9^2
243,31
Non-split extensions G=N.Q with N=
C
3
and Q=
C
9
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.
1
C
9
2
=
C
3
.C
9
2
central stem extension (φ=1)
243
C3.1C9^2
243,2
C
3
.
2
C
9
2
=
C
27
⋊
2
C
9
central stem extension (φ=1)
243
C3.2C9^2
243,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁