D6×C5

D6×C5 is the direct product of two smaller groups.

Statistics

Order of group30
GAP identifier30,1
Presentation< k,r,g | k3, r2, g5, (kr)2, [k,g], [r,g] >
Orders of elements1 of 1, 3 of 2, 2 of 3, 4*1 of 5, 4*3 of 10, 4*2 of 15
CentreC5
Derived subgroupC3
Automorphism groupD6×C4
Inner automorphism groupD6
"Out" (quotient of above)C4
Schur multiplier(1)
 

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