Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
488 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 133 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. #17986317 | C2 | semidirect |
| 3. #17986289 | C2 | semidirect |
| 4. #17986194 | C2 | semidirect |
| 5. #17986133 | C2 | semidirect |
| 6. #17986109 | C2 | semidirect |
| 7. #17986056 | C2 | semidirect |
| 8. C2×C4×D4×C71 | C2 | semidirect |
| 11. #14556128 | C22 | semidirect |
| 12. #14556125 | C22 | semidirect |
| 17. C4×D284 | C22 | semidirect |
| 18. #14556059 | C22 | semidirect |
| 19. C4⋊(C71⋊C8) | C22 | semidirect |
| 21. #14556048 | C22 | semidirect |
| 23. #14556039 | C22 | semidirect |
| 73. D4×C71 | #41 | semidirect |
| 121. C71 | #3109 | semidirect |
| 123. C2×C4×D4 | D71 | semidirect |
| 199. D4 | #11765865 | semidirect |