Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
252 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 79 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. #31826513 | C2 | semidirect |
| 5. #31826229 | C2 | semidirect |
| 6. #31826229 | C2 | semidirect |
| 7. #430×C283 | C2 | semidirect |
| 91. C283 | #1858 | semidirect |
| 95. #430 | D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31827231 | 2 |
| #31826513 | 2 |
| #31826447 | 2 |
| #31826433 | 2 |
| #31826229 | 2 |
| #430×C283 | 2 |
| #1858 | 283 |