Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
462 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 462 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. #19099270 | C2 | semidirect |
| 2. #19098909 | C2 | semidirect |
| 3. #19098879 | C2 | semidirect |
| 4. #19098853 | C2 | semidirect |
| 5. #19098790 | C2 | semidirect |
| 6. #19098760 | C2 | semidirect |
| 7. #19098714 | C2 | semidirect |
| 8. C4×#11929612 | C2 | semidirect |
| 9. D4×C79⋊C8 | C2 | semidirect |
| 10. C2×#14579082 | C2 | semidirect |
| 13. C2×#11929612 | C22 | semidirect |
| 14. C22×C79⋊C8 | C22 | semidirect |
| 15. #14579161 | C22 | semidirect |
| 17. #14579140 | C22 | semidirect |
| 19. C4×Dic158 | C22 | semidirect |
| 21. C2×C4⋊Dic79 | C22 | semidirect |
| 22. #14579092 | C22 | semidirect |
| 23. #14579092 | C22 | semidirect |
| 24. C4⋊(C79⋊C8) | C22 | semidirect |
| 25. #14579084 | C22 | semidirect |
| 28. #14579082 | C22 | semidirect |
| 29. #14579082 | C22 | semidirect |
| 30. #14579082 | C22 | semidirect |
| 31. C22⋊(C79⋊C8) | C22 | semidirect |
| 32. C4×C79⋊C8 | C22 | semidirect |
| 90. D4×C79 | SD16 | semidirect |
| 137. C79 | #3295 | semidirect |
| 230. D4 | #11929612 | semidirect |