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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
5
2
⋊C
3
Direct product G=N×Q with N=
C
3
and Q=
C
5
2
⋊C
3
d
ρ
Label
ID
C
3
×C
5
2
⋊C
3
45
3
C3xC5^2:C3
225,5
Non-split extensions G=N.Q with N=
C
3
and Q=
C
5
2
⋊C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.(C
5
2
⋊C
3
) =
C
5
2
⋊C
9
central extension (φ=1)
45
3
C3.(C5^2:C3)
225,3
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ℤ
𝔽
○
≀
ℚ
◁