Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
160 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 1. #31826861 | C2 | semidirect |
| 4. #31826217 | C2 | semidirect |
| 5. #31826214 | C2 | semidirect |
| 6. #31826212 | C2 | semidirect |
| 47. C283⋊C8 | SD16 | semidirect |
| 76. C283 | #1691 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31826861 | 2 |
| #31826670 | 2 |
| #31826543 | 2 |
| #31826217 | 2 |
| #31826214 | 2 |
| #31826212 | 2 |
| #476×C283 | 2 |
| #1691 | 283 |