Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
466 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 145 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. #19099361 | C2 | semidirect |
| 2. C2×#14579189 | C2 | semidirect |
| 3. C2×#14579186 | C2 | semidirect |
| 4. #19098833 | C2 | semidirect |
| 5. #19098826 | C2 | semidirect |
| 6. #19098612 | C2 | semidirect |
| 7. #19098545 | C2 | semidirect |
| 8. C2×#14579077 | C2 | semidirect |
| 9. #568×C79 | C2 | semidirect |
| 13. #14579191 | C22 | semidirect |
| 19. #14579186 | C22 | semidirect |
| 21. C2×#11929613 | C22 | semidirect |
| 23. C2×D632 | C22 | semidirect |
| 27. #14579097 | C22 | semidirect |
| 28. #14579079 | C22 | semidirect |
| 29. #14579077 | C22 | semidirect |
| 30. #14579077 | C22 | semidirect |
| 33. #131×C79 | C22 | semidirect |
| 148. C79 | #3068 | semidirect |
| 152. #568 | D79 | semidirect |
| 175. #131 | C2×D79 | semidirect |