Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
322 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 117 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. #31826772 | C2 | semidirect |
| 3. #31826769 | C2 | semidirect |
| 6. #31826675 | C2 | semidirect |
| 7. #31826672 | C2 | semidirect |
| 94. C283 | #3261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31827077 | 2 |
| #31826772 | 2 |
| #31826769 | 2 |
| #31826721 | 2 |
| #31826704 | 2 |
| #31826675 | 2 |
| #31826672 | 2 |
| #31826492 | 2 |
| #541×C283 | 2 |
| #3261 | 283 |