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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=
PSU
3
(𝔽
2
)
Direct product G=N×Q with N=
C
5
and Q=
PSU
3
(𝔽
2
)
d
ρ
Label
ID
C
5
×PSU
3
(𝔽
2
)
45
8
C5xPSU(3,2)
360,135
Semidirect products G=N:Q with N=
C
5
and Q=
PSU
3
(𝔽
2
)
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊PSU
3
(𝔽
2
) =
C
3
2
⋊Dic
10
φ:
PSU
3
(𝔽
2
)
/
C
3
2
⋊C
4
→
C
2
⊆ Aut
C
5
45
8
C5:PSU(3,2)
360,136
×
⋊
ℤ
𝔽
○
≀
ℚ
◁