Actually there are 98 individual subgroups, but this diagram bundles them in 25 different kinds of subgroups, each denoted in Schoenflies and Coxeter notation.
The subgroups of O or [4,3]+ can be seen on the left side (in magenta boxes). On the right side all the subgroups that contain the inversion (the small black dot in the cycle graphs) repeat the same structure. Each of them is the product of C2 and a subgroup of O, to which it is connected by a light red edge. These light edges are drawn straight, regardless of the nodes in between.
There are 7 subgroups that are not subgroups of O, and do not contain the inversion. Their boxes are thinner, and so are the edges leading to them.
to share – to copy, distribute and transmit the work
to remix – to adapt the work
Under the following conditions:
attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue
You may select the license of your choice.
Captions
Add a one-line explanation of what this file represents