Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
218 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 61 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #31826515 | C2 | semidirect |
| 3. #31826332 | C2 | semidirect |
| 4. #31826203 | C2 | semidirect |
| 5. #31826201 | C2 | semidirect |
| 9. #22583601 | C4 | semidirect |
| 10. #22583597 | C4 | semidirect |
| 13. #22583575 | C4 | semidirect |
| 15. D4×Dic283 | C4 | semidirect |
| 107. C283 | #1521 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31826996 | 2 |
| #31826515 | 2 |
| #31826332 | 2 |
| #31826203 | 2 |
| #31826201 | 2 |
| #31826199 | 2 |
| #327×C283 | 2 |
| #1521 | 283 |