Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
374 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 374 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 |
|---|---|---|
| 1. #17986722 | C2 | semidirect |
| 3. #17986404 | C2 | semidirect |
| 4. #17986333 | C2 | semidirect |
| 5. #17986321 | C2 | semidirect |
| 6. #17986284 | C2 | semidirect |
| 7. #17986279 | C2 | semidirect |
| 8. #17986242 | C2 | semidirect |
| 9. #17986078 | C2 | semidirect |
| 10. #17986038 | C2 | semidirect |
| 11. C4×SD16×C71 | C2 | semidirect |
| 98. C8×C71 | #41 | semidirect |
| 123. C71 | #3353 | semidirect |
| 132. C4×SD16 | D71 | semidirect |
| 222. C8 | #11765865 | semidirect |