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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
5
and Q=
U
2
(𝔽
3
)
Direct product G=N×Q with N=
C
5
and Q=
U
2
(𝔽
3
)
d
ρ
Label
ID
C
5
×U
2
(𝔽
3
)
120
2
C5xU(2,3)
480,257
Semidirect products G=N:Q with N=
C
5
and Q=
U
2
(𝔽
3
)
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊U
2
(𝔽
3
) =
C
5
⋊U
2
(𝔽
3
)
φ:
U
2
(𝔽
3
)
/
SL
2
(𝔽
3
)
→
C
4
⊆ Aut
C
5
120
8+
C5:U(2,3)
480,961
C
5
⋊
2
U
2
(𝔽
3
) =
C
5
⋊
2
U
2
(𝔽
3
)
φ:
U
2
(𝔽
3
)
/
C
4
.A
4
→
C
2
⊆ Aut
C
5
120
4
C5:2U(2,3)
480,261
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