Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 420 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. #19099168 | C2 | semidirect |
| 2. #19098953 | C2 | semidirect |
| 3. #19098939 | C2 | semidirect |
| 4. #19098927 | C2 | semidirect |
| 5. #19098917 | C2 | semidirect |
| 6. #19098775 | C2 | semidirect |
| 7. #19098755 | C2 | semidirect |
| 8. #19098708 | C2 | semidirect |
| 9. #19098697 | C2 | semidirect |
| 10. #19098624 | C2 | semidirect |
| 11. #535×C79 | C2 | semidirect |
| 12. C2×#11929611 | C22 | semidirect |
| 15. C2×#11929609 | C22 | semidirect |
| 16. #14579158 | C22 | semidirect |
| 17. #14579153 | C22 | semidirect |
| 21. C4×D316 | C22 | semidirect |
| 22. C4⋊(C79⋊C8) | C22 | semidirect |
| 23. #14579085 | C22 | semidirect |
| 26. #14579082 | C22 | semidirect |
| 28. #14579072 | C22 | semidirect |
| 29. C4×C79⋊C8 | C22 | semidirect |
| 129. C79 | #3220 | semidirect |
| 131. #535 | D79 | semidirect |