Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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. #19099363 | C2 | semidirect |
| 2. C2×#14579189 | C2 | semidirect |
| 3. C2×#14579189 | C2 | semidirect |
| 4. #19099329 | C2 | semidirect |
| 5. #19098834 | C2 | semidirect |
| 6. #19098827 | C2 | semidirect |
| 7. #19098545 | C2 | semidirect |
| 8. C2×#14579077 | C2 | semidirect |
| 9. #430×C79 | C2 | semidirect |
| 14. #14579194 | C22 | semidirect |
| 20. #14579189 | C22 | semidirect |
| 23. C2×#11929613 | C22 | semidirect |
| 25. C2×D632 | C22 | semidirect |
| 27. #14579167 | C22 | semidirect |
| 30. #14579079 | C22 | semidirect |
| 31. #14579077 | C22 | semidirect |
| 32. #14579077 | C22 | semidirect |
| 36. #108×C79 | C22 | semidirect |
| 148. C79 | #3068 | semidirect |
| 155. #430 | D79 | semidirect |
| 181. #108 | C2×D79 | semidirect |