Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
314 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 157 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. #31826595 | C2 | semidirect |
| 3. #31826594 | C2 | semidirect |
| 4. #31826593 | C2 | semidirect |
| 5. #31826592 | C2 | semidirect |
| 91. C283 | #2987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31827018 | 2 |
| #31826595 | 2 |
| #31826594 | 2 |
| #31826593 | 2 |
| #31826592 | 2 |
| #31826526 | 2 |
| #31826523 | 2 |
| #31826519 | 2 |
| #433×C283 | 2 |
| #2987 | 283 |