Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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. #17986334 | C2 | semidirect |
| 3. #17986332 | C2 | semidirect |
| 4. #17986238 | C2 | semidirect |
| 5. #17986155 | C2 | semidirect |
| 6. #17986154 | C2 | semidirect |
| 10. C2×#11765855 | C22 | semidirect |
| 19. #14556061 | C22 | semidirect |
| 20. #14556052 | C22 | semidirect |
| 21. #14556051 | C22 | semidirect |
| 68. C23×C71 | Q16 | semidirect |
| 121. C71 | #3189 | semidirect |
| 189. C23 | #11765855 | semidirect |