Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
430 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 123 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. #17986670 | C2 | semidirect |
| 2. #17986347 | C2 | semidirect |
| 3. #17986317 | C2 | semidirect |
| 4. #17986281 | C2 | semidirect |
| 5. #17986250 | C2 | semidirect |
| 6. #17986194 | C2 | semidirect |
| 7. #17986142 | C2 | semidirect |
| 8. C4×#11765853 | C2 | semidirect |
| 9. #17986077 | C2 | semidirect |
| 10. #17985998 | C2 | semidirect |
| 11. #547×C71 | C2 | semidirect |
| 105. Dic142 | #41 | semidirect |
| 135. C71 | #3332 | semidirect |
| 137. #547 | D71 | semidirect |