D30

Also called  (C5,C3) ⋊ C2.

Statistics

Order of group30
GAP identifier30,3
Presentation< k,r | k15, r2, (ab)2 >
Orders of elements1 of 1, 15 of 2, 2 of 3, 2*2 of 5, 4*2 of 15
Centre1
Derived subgroupC15
Automorphism groupFrob20×D6
Inner automorphism groupC6
"Out" (quotient of above)Frob(20)
Schur multiplier1
 

Permutation Diagrams


Not transitive.

Not transitive.

1-transitive on 15
points, odd.

1-transitive on 15
points, odd.

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