Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17986709 | C2 | semidirect |
| 3. #17986397 | C2 | semidirect |
| 4. #17986328 | C2 | semidirect |
| 5. #17986316 | C2 | semidirect |
| 6. #17986289 | C2 | semidirect |
| 7. #17986284 | C2 | semidirect |
| 8. #17986225 | C2 | semidirect |
| 9. C8×D284 | C2 | semidirect |
| 10. #106×D71 | C2 | semidirect |
| 11. C4×SD16×C71 | C2 | semidirect |
| 91. D284 | SD16 | semidirect |
| 99. C8×C71 | #41 | semidirect |
| 124. C71 | #3335 | semidirect |
| 133. C4×SD16 | D71 | semidirect |
| 224. C8 | #11765865 | semidirect |