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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
45
Direct product G=N×Q with N=
C
3
2
and Q=
C
45
d
ρ
Label
ID
C
3
2
×C
45
405
C3^2xC45
405,11
Semidirect products G=N:Q with N=
C
3
2
and Q=
C
45
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
⋊C
45
=
C
5
×C
3
2
⋊C
9
φ:
C
45
/
C
15
→
C
3
⊆ Aut
C
3
2
135
C3^2:C45
405,3
Non-split extensions G=N.Q with N=
C
3
2
and Q=
C
45
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
.C
45
=
C
5
×C
27
⋊C
3
φ:
C
45
/
C
15
→
C
3
⊆ Aut
C
3
2
135
3
C3^2.C45
405,6
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⋊
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○
≀
ℚ
◁