Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
438 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 438 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. #17986549 | C2 | semidirect |
| 2. #17986375 | C2 | semidirect |
| 3. #17986373 | C2 | semidirect |
| 4. #17986349 | C2 | semidirect |
| 5. #17986345 | C2 | semidirect |
| 6. #17986211 | C2 | semidirect |
| 7. #17986144 | C2 | semidirect |
| 8. #17986052 | C2 | semidirect |
| 9. #532×C71 | C2 | semidirect |
| 121. C71 | #3207 | semidirect |
| 123. #532 | D71 | semidirect |