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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=
Q
8
×C
5
2
Direct product G=N×Q with N=
C
2
and Q=
Q
8
×C
5
2
d
ρ
Label
ID
Q
8
×C
5
×C
10
400
Q8xC5xC10
400,203
Non-split extensions G=N.Q with N=
C
2
and Q=
Q
8
×C
5
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(Q
8
×C
5
2
) =
C
4
⋊C
4
×C
5
2
central extension (φ=1)
400
C2.(Q8xC5^2)
400,110
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𝔽
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≀
ℚ
◁