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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=
D
5
and Q=
GL
2
(𝔽
3
)
Direct product G=N×Q with N=
D
5
and Q=
GL
2
(𝔽
3
)
d
ρ
Label
ID
D
5
×GL
2
(𝔽
3
)
40
4
D5xGL(2,3)
480,974
Non-split extensions G=N.Q with N=
D
5
and Q=
GL
2
(𝔽
3
)
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.GL
2
(𝔽
3
) =
D
10
.S
4
φ:
GL
2
(𝔽
3
)
/
SL
2
(𝔽
3
)
→
C
2
⊆ Out
D
5
40
8-
D5.GL(2,3)
480,962
×
⋊
ℤ
𝔽
○
≀
ℚ
◁