Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14579186 | C2 | semidirect |
| 2. C2×#14579168 | C2 | semidirect |
| 3. #19099127 | C2 | semidirect |
| 4. #19098814 | C2 | semidirect |
| 5. #19098811 | C2 | semidirect |
| 6. #19098797 | C2 | semidirect |
| 7. #19098794 | C2 | semidirect |
| 8. #19098603 | C2 | semidirect |
| 9. #19098559 | C2 | semidirect |
| 10. C2×#14579081 | C2 | semidirect |
| 11. #537×C79 | C2 | semidirect |
| 18. C2×#11929608 | C22 | semidirect |
| 20. C22×C79⋊C8 | C22 | semidirect |
| 27. #14579094 | C22 | semidirect |
| 28. #14579092 | C22 | semidirect |
| 29. #14579085 | C22 | semidirect |
| 30. #14579085 | C22 | semidirect |
| 31. #14579082 | C22 | semidirect |
| 32. #14579082 | C22 | semidirect |
| 38. C22⋊Q8×C79 | C22 | semidirect |
| 41. #121×C79 | C22 | semidirect |
| 53. #11929608 | D4 | semidirect |
| 152. C79 | #3062 | semidirect |
| 155. #537 | D79 | semidirect |
| 178. C22⋊Q8 | C2×D79 | semidirect |
| 183. #121 | C2×D79 | semidirect |