C5×C5

C5×C5 is Abelian, and is a direct product of two smaller groups.

Statistics

Order of group25
GAP identifier25,2
Presentation< k,r | k5, r5, [k,r]>
Orders of elements1 of 1, 24*1 of 5
CentreC5×C5
Derived subgroup1
Automorphism groupGL(2,5)
Inner automorphism group1
"Out" (quotient of above)GL(2,5)
Schur multiplierC5
 

Permutation Diagrams


Not transitive.

Cayley Graphs



{4,4}(5,0), type I

Index to regular maps

Orientable sphere | torus | 2 | 3 | 4 | 5 | 6
Non-orientable projective plane | 4 | 5 | 6 | 7