Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
418 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 418 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. #17986734 | C2 | semidirect |
| 2. #17986386 | C2 | semidirect |
| 3. #17986375 | C2 | semidirect |
| 4. #17986214 | C2 | semidirect |
| 5. #17986196 | C2 | semidirect |
| 6. #17986194 | C2 | semidirect |
| 7. #17986191 | C2 | semidirect |
| 8. #17986130 | C2 | semidirect |
| 9. #17986109 | C2 | semidirect |
| 10. C4×#11765853 | C2 | semidirect |
| 11. #550×C71 | C2 | semidirect |
| 108. C71⋊C8 | #41 | semidirect |
| 135. C71 | #3399 | semidirect |
| 137. #550 | D71 | semidirect |