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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
13
and Q=
SL
2
(𝔽
3
)
Direct product G=N×Q with N=
C
13
and Q=
SL
2
(𝔽
3
)
d
ρ
Label
ID
C
13
×SL
2
(𝔽
3
)
104
2
C13xSL(2,3)
312,25
Semidirect products G=N:Q with N=
C
13
and Q=
SL
2
(𝔽
3
)
extension
φ:Q→Aut N
d
ρ
Label
ID
C
13
⋊SL
2
(𝔽
3
) =
C
26
.A
4
φ:
SL
2
(𝔽
3
)
/
Q
8
→
C
3
⊆ Aut
C
13
104
6
C13:SL(2,3)
312,26
×
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ℚ
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