D10×C3

D10×C3 is the direct product of two smaller groups.

Statistics

Order of group30
GAP identifier30,2
Presentation< k,r,g | k5, r2, g3, (kr)2, [k,g], [r,g] >
Orders of elements1 of 1, 5 of 2, 2*1 of 3, 4 of 5, 2*5 of 6, 2*4 of 15
CentreC3
Derived subgroupC5
Automorphism groupFrob20×C2
Inner automorphism groupD10
"Out" (quotient of above)C2×C2
Schur multiplier1
 

Permutation Diagrams


Not transitive.

Not transitive.

Not transitive.

Cayley Graphs




Index to regular maps

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