Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
454 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 129 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. #17986533 | C2 | semidirect |
| 2. C2×C4×D284 | C2 | semidirect |
| 3. #17986335 | C2 | semidirect |
| 4. #17986318 | C2 | semidirect |
| 5. #17986300 | C2 | semidirect |
| 6. #17986215 | C2 | semidirect |
| 7. #17986152 | C2 | semidirect |
| 9. C4×#11765854 | C2 | semidirect |
| 10. C4×D568 | C2 | semidirect |
| 11. #431×C71 | C2 | semidirect |
| 17. #14556120 | C22 | semidirect |
| 18. #14556116 | C22 | semidirect |
| 22. C4×Dic142 | C22 | semidirect |
| 27. C4×D284 | C22 | semidirect |
| 32. #14556062 | C22 | semidirect |
| 33. #14556060 | C22 | semidirect |
| 34. #14556053 | C22 | semidirect |
| 37. #14556050 | C22 | semidirect |
| 39. C4⋊C8×C71 | C22 | semidirect |
| 42. C4×C8×C71 | C22 | semidirect |
| 141. C71 | #3105 | semidirect |
| 152. #431 | D71 | semidirect |
| 176. C4⋊C8 | C2×D71 | semidirect |
| 183. C4×C8 | C2×D71 | semidirect |