genus c | 8, orientable |
Schläfli formula c | {3,8} |
V / F / E c | 42 / 112 / 168 |
notes | |
vertex, face multiplicity c | 1, 1 |
24, each with 14 edges 42, each with 8 edges 56, each with 6 edges 48, each with 7 edges 84, each with 4 edges 42, each with 8 edges 42, each with 8 edges | |
rotational symmetry group | PSL(3,2) ⋊ C2, with 336 elements |
full symmetry group | 672 elements. |
its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s8, s2rs‑3r‑1s2r‑1s4r‑1s > |
C&D number c | R8.2 |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
It can be 2-split to give
Its 3-hole derivative is
List of regular maps in orientable genus 8.
Orientable | |
Non-orientable |