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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
19
and Q=
SL
2
(𝔽
3
)
Direct product G=N×Q with N=
C
19
and Q=
SL
2
(𝔽
3
)
d
ρ
Label
ID
C
19
×SL
2
(𝔽
3
)
152
2
C19xSL(2,3)
456,22
Semidirect products G=N:Q with N=
C
19
and Q=
SL
2
(𝔽
3
)
extension
φ:Q→Aut N
d
ρ
Label
ID
C
19
⋊SL
2
(𝔽
3
) =
C
38
.A
4
φ:
SL
2
(𝔽
3
)
/
Q
8
→
C
3
⊆ Aut
C
19
152
6
C19:SL(2,3)
456,23
×
⋊
ℤ
𝔽
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ℚ
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