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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
5
2
⋊
4
C
8
Direct product G=N×Q with N=
C
2
and Q=
C
5
2
⋊
4
C
8
d
ρ
Label
ID
C
2
×C
5
2
⋊
4
C
8
400
C2xC5^2:4C8
400,153
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
2
⋊
4
C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
5
2
⋊
4
C
8
) =
C
5
2
⋊
4
C
16
central extension (φ=1)
400
C2.(C5^2:4C8)
400,58
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ℤ
𝔽
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≀
ℚ
◁