Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
496 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 143 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. C2×M16×D71 | C2 | semidirect |
| 3. C2×#14556104 | C2 | semidirect |
| 4. #17986254 | C2 | semidirect |
| 5. #17986242 | C2 | semidirect |
| 6. #17986237 | C2 | semidirect |
| 7. #17986225 | C2 | semidirect |
| 8. #17986041 | C2 | semidirect |
| 9. #17986008 | C2 | semidirect |
| 10. #17986000 | C2 | semidirect |
| 11. C2×#137×C71 | C2 | semidirect |
| 33. #14556062 | C22 | semidirect |
| 34. #14556060 | C22 | semidirect |
| 35. #14556052 | C22 | semidirect |
| 36. #14556052 | C22 | semidirect |
| 37. #14556052 | C22 | semidirect |
| 38. #14556049 | C22 | semidirect |
| 42. C2×Q16×C71 | C22 | semidirect |
| 43. C2×SD16×C71 | C22 | semidirect |
| 90. M16×C71 | D4 | semidirect |
| 145. C2×D71 | #137 | semidirect |
| 164. C71 | #3056 | semidirect |
| 165. C2×#137 | D71 | semidirect |
| 180. C2×Q16 | C2×D71 | semidirect |
| 181. C2×SD16 | C2×D71 | semidirect |
| 236. M16 | C22⋊D71 | semidirect |