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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
10
and Q=
C
5
2
Direct product G=N×Q with N=
C
10
and Q=
C
5
2
d
ρ
Label
ID
C
5
2
×C
10
250
C5^2xC10
250,15
Non-split extensions G=N.Q with N=
C
10
and Q=
C
5
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
.
1
C
5
2
=
C
2
×He
5
central extension (φ=1)
50
5
C10.1C5^2
250,10
C
10
.
2
C
5
2
=
C
2
×5
-
1+2
central extension (φ=1)
50
5
C10.2C5^2
250,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁