Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 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. #17986653 | C2 | semidirect |
| 2. #17986395 | C2 | semidirect |
| 3. #17986323 | C2 | semidirect |
| 4. #17986315 | C2 | semidirect |
| 5. #17986286 | C2 | semidirect |
| 6. #17986279 | C2 | semidirect |
| 7. #17986250 | C2 | semidirect |
| 8. C4×#11765850 | C2 | semidirect |
| 9. #17986077 | C2 | semidirect |
| 10. #17986042 | C2 | semidirect |
| 11. #555×C71 | C2 | semidirect |
| 101. C71⋊C8 | #41 | semidirect |
| 128. C71 | #3354 | semidirect |
| 129. #555 | D71 | semidirect |