This lattice is  M3[C3]  (see the definition),

where  M3   is the five element modular but

not distributive lattice and C3 is the three

element chain.

 

Special thanks to

István Prok

(Technical University of Budapest)

who made this file

You can see M3[C3]  with the lattice drowing program   (Ralph Freese)

if you fill in the text field on the applet with

www.math.bme.hu/~schmidt/tomi.lat