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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
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⋊
.
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≀
Extensions
1→N→G→Q→1 with N=
C
15
and Q=
C
7
⋊C
3
Direct product G=N×Q with N=
C
15
and Q=
C
7
⋊C
3
d
ρ
Label
ID
C
15
×C
7
⋊C
3
105
3
C15xC7:C3
315,3
Non-split extensions G=N.Q with N=
C
15
and Q=
C
7
⋊C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
15
.(C
7
⋊C
3
) =
C
5
×C
7
⋊C
9
central extension (φ=1)
315
3
C15.(C7:C3)
315,1
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ℚ
◁