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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
2
and Q=
D
5
×SL
2
(𝔽
3
)
Direct product G=N×Q with N=
C
2
and Q=
D
5
×SL
2
(𝔽
3
)
d
ρ
Label
ID
C
2
×D
5
×SL
2
(𝔽
3
)
80
C2xD5xSL(2,3)
480,1039
Non-split extensions G=N.Q with N=
C
2
and Q=
D
5
×SL
2
(𝔽
3
)
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(D
5
×SL
2
(𝔽
3
)) =
Dic
5
×SL
2
(𝔽
3
)
central extension (φ=1)
160
C2.(D5xSL(2,3))
480,266
×
⋊
ℤ
𝔽
○
≀
ℚ
◁