S2:{4,6}

genus ^c	2, orientable
Schläfli formula ^c	{4,6}
V / F / E ^c	4 / 6 / 12
notes
vertex, face multiplicity ^c	3, 2
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	2, each with 12 edges 12, each with 2 edges 4, each with 6 edges 6, each with 4 edges 6, each with 4 edges
antipodal sets	2 of ( 2v ), 3 of ( 2f ), 6 of ( 2e )
rotational symmetry group	C3 ⋊ D8, with 24 elements
full symmetry group	48 elements.
its presentation ^c	< r, s, t \| t², r⁴, (rs)², (rs^‑1)², (rt)², (st)², s⁶ >
C&D number ^c	R2.2
The statistics marked ^c are from the published work of Professor Marston Conder.

It can be 2-fold covered to give S3:{4,6}.

It can be 3-split to give R10.17′.
It can be 5-split to give R18.4′.
It can be 7-split to give R26.7′.
It can be 9-split to give R34.8′.
It can be 11-split to give R42.4′.

It is a member of series ε'°' .
It is a member of series ζ .

Its skeleton is 3 . 4-cycle.

Other Regular Maps