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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=
C
2
×SL
2
(𝔽
5
)
Direct product G=N×Q with N=
C
2
and Q=
C
2
×SL
2
(𝔽
5
)
d
ρ
Label
ID
C
2
2
×SL
2
(𝔽
5
)
96
C2^2xSL(2,5)
480,960
Non-split extensions G=N.Q with N=
C
2
and Q=
C
2
×SL
2
(𝔽
5
)
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
2
×SL
2
(𝔽
5
)) =
C
4
×SL
2
(𝔽
5
)
central extension (φ=1)
96
C2.(C2xSL(2,5))
480,222
×
⋊
ℤ
𝔽
○
≀
ℚ
◁