C30

C30 is Abelian, and is a direct product of two smaller groups.

Statistics

Order of group30
GAP identifier30,4
Presentation< k | k30 >
Orders of elements1 of 1, 1 of 2, 2*1 of 3, 4*1 of 5, 2*1 of 6, 4*1 of 10, 8*1 of 15, 8*1 of 30
CentreC30
Derived subgroup1
Automorphism groupC4×C2
Inner automorphism group1
"Out" (quotient of above)C4×C2
Schur multiplier1
 

Permutation Diagrams


Not transitive.

Not transitive.

Sharply 1-transitive
on 30 points, odd.

Cayley Graphs










Index to regular maps

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