C4×C4

C4×C4 is Abelian, and is a direct product of two smaller groups.

Statistics

Order of group16
GAP identifier16,2
Presentation< k,r | k4, r4, [k,r] >
Orders of elements1 of 1, 3*1 of 2, 12*1 of 4
CentreC4×C4
Derived subgroup1
Automorphism group(C2×C2,A4) ⋊ C2
Inner automorphism group1
"Out" (quotient of above)(C2×C2,A4) ⋊ C2
Schur multiplierC4
 

Permutation Diagrams


Not transitive.

Cayley Graphs



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

Index to regular maps

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