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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
15
and Q=
SL
2
(𝔽
3
)
Direct product G=N×Q with N=
C
15
and Q=
SL
2
(𝔽
3
)
d
ρ
Label
ID
C
15
×SL
2
(𝔽
3
)
120
2
C15xSL(2,3)
360,89
Non-split extensions G=N.Q with N=
C
15
and Q=
SL
2
(𝔽
3
)
extension
φ:Q→Aut N
d
ρ
Label
ID
C
15
.SL
2
(𝔽
3
) =
C
5
×Q
8
⋊C
9
central extension (φ=1)
360
2
C15.SL(2,3)
360,14
×
⋊
ℤ
𝔽
○
≀
ℚ
◁