modular(16)

Statistics

Order of group16
GAP identifier16,6
Presentation< k,r | k8, r2, krk3r >
Orders of elements1 of 1, 3 of 2, 4 of 4, 8 of 8
CentreC4
Derived subgroupC2
Automorphism groupD8×C2
Inner automorphism groupC2×C2
"Out" (quotient of above)C2×C2
Schur multiplier1
 

Permutation Diagrams


1-transitive on 8
points, odd.

1-transitive on 8
points, odd.

1-transitive on 8
points, odd.

Cayley Graphs


S2:{8,3}, type I



Regular maps with modular(16) symmetry

modular(16) is the rotational symmetry group of the regular map S3:{8,8}4.


Index to regular maps

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