C7 ⋊ C6 drawn on a torus

Cayley graph of C7⋊C6 drawn on a torus

The Cayley diagram of C7 ⋊ C6 — the Frobenius group of order 42 — can be drawn on a torus, as shown to the left, with no crossings.

The purple lines show where the torus has been "cut" so as to fit onto (Euclidean 2-space) / (an image file) / (your computer screen) / (your retina). The purple arrows indicate that the cut edges join up "parallel": it is a torus, not a Klein bottle or a projective plane.


Cayley graph of Ffrobenius group of order 42 drawn on a torus

Another way of drawing C7 ⋊ C6 on a torus.


Cayley graph of D42 drawn on a torus

D42 on a torus.


Cayley graph of Frob42 drawn on a torus

C7 ⋊ C6 — on a hexagonal torus.

More miscellaneous short pages on finite groups
More pages on groups

Copyright N.S.Wedd 2009