Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
466 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099074 | C2 | semidirect |
| 2. #19098893 | C2 | semidirect |
| 3. #19098884 | C2 | semidirect |
| 4. #19098876 | C2 | semidirect |
| 5. #19098814 | C2 | semidirect |
| 6. #19098807 | C2 | semidirect |
| 7. #19098714 | C2 | semidirect |
| 8. #19098706 | C2 | semidirect |
| 9. #19098697 | C2 | semidirect |
| 10. #19098527 | C2 | semidirect |
| 11. C2×#121×C79 | C2 | semidirect |
| 12. C2×#11929624 | C22 | semidirect |
| 13. C2×#11929612 | C22 | semidirect |
| 14. C2×#11929609 | C22 | semidirect |
| 15. C2×#11929608 | C22 | semidirect |
| 18. #14579140 | C22 | semidirect |
| 20. #14579135 | C22 | semidirect |
| 24. #14579120 | C22 | semidirect |
| 25. #14579094 | C22 | semidirect |
| 26. #14579092 | C22 | semidirect |
| 27. #14579084 | C22 | semidirect |
| 28. #14579082 | C22 | semidirect |
| 29. #14579082 | C22 | semidirect |
| 30. #14579081 | C22 | semidirect |
| 33. C22⋊(C79⋊C8) | C22 | semidirect |
| 159. C79 | #3194 | semidirect |
| 161. C2×#121 | D79 | semidirect |