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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
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⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
3
and Q=
C
3
2
Direct product G=N×Q with N=
C
3
and Q=
C
3
2
d
ρ
Label
ID
C
3
3
27
C3^3
27,5
Non-split extensions G=N.Q with N=
C
3
and Q=
C
3
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.
1
C
3
2
=
He
3
central stem extension (φ=1)
9
3
C3.1C3^2
27,3
C
3
.
2
C
3
2
=
3
-
1+2
central stem extension (φ=1)
9
3
C3.2C3^2
27,4
×
⋊
ℤ
𝔽
○
≀
ℚ
◁