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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=
Q
8
×C
10
and Q=
C
5
Direct product G=N×Q with N=
Q
8
×C
10
and Q=
C
5
d
ρ
Label
ID
Q
8
×C
5
×C
10
400
Q8xC5xC10
400,203
Non-split extensions G=N.Q with N=
Q
8
×C
10
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
(Q
8
×C
10
).C
5
=
Q
8
×C
50
φ: trivial image
400
(Q8xC10).C5
400,47
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⋊
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𝔽
○
≀
ℚ
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