Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
442 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099127 | C2 | semidirect |
| 2. #19098887 | C2 | semidirect |
| 3. #19098884 | C2 | semidirect |
| 4. #19098814 | C2 | semidirect |
| 5. #19098797 | C2 | semidirect |
| 6. #19098697 | C2 | semidirect |
| 7. #19098696 | C2 | semidirect |
| 8. #19098530 | C2 | semidirect |
| 9. #535×C79 | C2 | semidirect |
| 10. C22×D316 | C22 | semidirect |
| 13. C2×#11929608 | C22 | semidirect |
| 14. C22×C79⋊C8 | C22 | semidirect |
| 18. #14579135 | C22 | semidirect |
| 21. #14579120 | C22 | semidirect |
| 22. #14579094 | C22 | semidirect |
| 23. #14579092 | C22 | semidirect |
| 24. #14579082 | C22 | semidirect |
| 25. #14579082 | C22 | semidirect |
| 26. #14579081 | C22 | semidirect |
| 27. #14579081 | C22 | semidirect |
| 28. C22⋊(C79⋊C8) | C22 | semidirect |
| 29. C22⋊(C79⋊C8) | C22 | semidirect |
| 31. C22×D4×C79 | C22 | semidirect |
| 35. #121×C79 | C22 | semidirect |
| 38. #117×C79 | C22 | semidirect |
| 145. C79 | #3199 | semidirect |
| 147. #535 | D79 | semidirect |
| 157. C22×D4 | C2×D79 | semidirect |
| 169. #121 | C2×D79 | semidirect |
| 175. #117 | C2×D79 | semidirect |