Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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×#14579181 | C2 | semidirect |
| 2. C22×#11929608 | C2 | semidirect |
| 3. #19099074 | C2 | semidirect |
| 4. #19098819 | C2 | semidirect |
| 5. #19098814 | C2 | semidirect |
| 6. #19098811 | C2 | semidirect |
| 7. #19098807 | C2 | semidirect |
| 8. #19098599 | C2 | semidirect |
| 9. #19098559 | C2 | semidirect |
| 10. #19098557 | C2 | semidirect |
| 11. #525×C79 | C2 | semidirect |
| 14. C2×#11929614 | C22 | semidirect |
| 15. C2×#11929612 | C22 | semidirect |
| 16. C2×#11929611 | C22 | semidirect |
| 17. C2×#11929609 | C22 | semidirect |
| 29. #14579094 | C22 | semidirect |
| 30. #14579092 | C22 | semidirect |
| 31. #14579085 | C22 | semidirect |
| 32. #14579084 | C22 | semidirect |
| 33. #14579082 | C22 | semidirect |
| 34. #14579081 | C22 | semidirect |
| 57. C2×C79⋊C8 | D4 | semidirect |
| 149. C79 | #3054 | semidirect |
| 153. #525 | D79 | semidirect |