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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
5
2
⋊C
8
and Q=
C
2
Direct product G=N×Q with N=
C
5
2
⋊C
8
and Q=
C
2
d
ρ
Label
ID
C
2
×C
5
2
⋊C
8
20
8+
C2xC5^2:C8
400,208
Semidirect products G=N:Q with N=
C
5
2
⋊C
8
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
5
2
⋊C
8
⋊C
2
=
C
5
2
⋊M
4
(2)
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
5
2
⋊C
8
10
8+
C5^2:C8:C2
400,206
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ℚ
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