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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
2
and Q=
C
81
Direct product G=N×Q with N=
C
2
2
and Q=
C
81
d
ρ
Label
ID
C
2
×C
162
324
C2xC162
324,5
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
81
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊C
81
=
C
27
.A
4
φ:
C
81
/
C
27
→
C
3
⊆ Aut
C
2
2
162
3
C2^2:C81
324,3
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⋊
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≀
ℚ
◁