Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
524 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 127 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×D8×D79 | C2 | semidirect |
| 2. C2×#14579167 | C2 | semidirect |
| 3. #19099129 | C2 | semidirect |
| 4. #19098815 | C2 | semidirect |
| 5. #19098814 | C2 | semidirect |
| 6. #19098800 | C2 | semidirect |
| 7. #19098799 | C2 | semidirect |
| 8. #19098796 | C2 | semidirect |
| 9. #19098600 | C2 | semidirect |
| 10. #19098566 | C2 | semidirect |
| 11. #466×C79 | C2 | semidirect |
| 18. C2×#11929608 | C22 | semidirect |
| 20. C2×#11929607 | C22 | semidirect |
| 22. C2×C8×D79 | C22 | semidirect |
| 25. #14579136 | C22 | semidirect |
| 26. #14579135 | C22 | semidirect |
| 27. #14579132 | C22 | semidirect |
| 31. #14579095 | C22 | semidirect |
| 32. #14579092 | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 34. #14579082 | C22 | semidirect |
| 35. #14579081 | C22 | semidirect |
| 37. C22×C8×C79 | C22 | semidirect |
| 38. #121×C79 | C22 | semidirect |
| 39. #107×C79 | C22 | semidirect |
| 40. #102×C79 | C22 | semidirect |
| 65. C8×D79 | D4 | semidirect |
| 151. C79 | #3058 | semidirect |
| 160. #466 | D79 | semidirect |
| 175. C22×C8 | C2×D79 | semidirect |
| 181. #121 | C2×D79 | semidirect |
| 186. #107 | C2×D79 | semidirect |
| 191. #102 | C2×D79 | semidirect |