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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
⋊C
10
Direct product G=N×Q with N=
C
2
and Q=
C
5
2
⋊C
10
d
ρ
Label
ID
C
2
×C
5
2
⋊C
10
50
10+
C2xC5^2:C10
500,30
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
2
⋊C
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
5
2
⋊C
10
) =
He
5
⋊
5
C
4
central extension (φ=1)
100
10-
C2.(C5^2:C10)
500,8
×
⋊
ℤ
𝔽
○
≀
ℚ
◁