Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. C2×#14556104 | C2 | semidirect |
| 3. #17986338 | C2 | semidirect |
| 4. #17986332 | C2 | semidirect |
| 5. #17986318 | C2 | semidirect |
| 6. #17986254 | C2 | semidirect |
| 7. #17986248 | C2 | semidirect |
| 8. #17986160 | C2 | semidirect |
| 9. #17986138 | C2 | semidirect |
| 10. #17985961 | C2 | semidirect |
| 11. #451×C71 | C2 | semidirect |
| 14. C2×#11765852 | C22 | semidirect |
| 31. #14556061 | C22 | semidirect |
| 32. #14556060 | C22 | semidirect |
| 33. #14556052 | C22 | semidirect |
| 34. #14556052 | C22 | semidirect |
| 35. #14556050 | C22 | semidirect |
| 39. C2×Q16×C71 | C22 | semidirect |
| 41. #103×C71 | C22 | semidirect |
| 150. C71 | #3196 | semidirect |
| 159. #451 | D71 | semidirect |
| 165. C2×Q16 | C2×D71 | semidirect |
| 188. #103 | C2×D71 | semidirect |