C5×C5
C5×C5
is Abelian, and is a direct product of two smaller groups
.
Statistics
Order of group
25
GAP identifier
25,2
Presentation
< k,r  k
^{5}
, r
^{5}
, [k,r]>
Orders of elements
1 of 1, 24*1 of 5
Centre
C5×C5
Derived subgroup
1
Automorphism group
GL(2,5)
Inner automorphism group
1
"Out"
(quotient of above)
GL(2,5)
Schur multiplier
C5
Permutation Diagrams
Not transitive.
Cayley Graphs
{4,4}
_{(5,0)}
, type I
Index to regular maps
Orientable
sphere

torus

2

3

4

5

6
Nonorientable
projective plane

4

5

6

7