Go
Home
About
C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
2
×C
10
and Q=
C
5
2
Direct product G=N×Q with N=
C
2
×C
10
and Q=
C
5
2
d
ρ
Label
ID
C
5
×C
10
2
500
C5xC10^2
500,56
Non-split extensions G=N.Q with N=
C
2
×C
10
and Q=
C
5
2
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
×C
10
).
1
C
5
2
=
C
2
2
×He
5
central extension (φ=1)
100
(C2xC10).1C5^2
500,35
(C
2
×C
10
).
2
C
5
2
=
C
2
2
×5
-
1+2
central extension (φ=1)
100
(C2xC10).2C5^2
500,36
×
⋊
ℤ
𝔽
○
≀
ℚ
◁