Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. C2×#14579141 | C2 | semidirect |
| 3. #19098907 | C2 | semidirect |
| 4. #19098898 | C2 | semidirect |
| 5. #19098822 | C2 | semidirect |
| 6. #19098808 | C2 | semidirect |
| 7. #19098726 | C2 | semidirect |
| 8. #19098721 | C2 | semidirect |
| 9. #19098701 | C2 | semidirect |
| 10. #19098525 | C2 | semidirect |
| 11. #481×C79 | C2 | semidirect |
| 15. C2×Dic316 | C22 | semidirect |
| 16. C2×#11929612 | C22 | semidirect |
| 32. #14579094 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579084 | C22 | semidirect |
| 35. #14579084 | C22 | semidirect |
| 40. #106×C79 | C22 | semidirect |
| 41. #102×C79 | C22 | semidirect |
| 150. C79 | #3196 | semidirect |
| 155. #481 | D79 | semidirect |
| 185. #106 | C2×D79 | semidirect |
| 189. #102 | C2×D79 | semidirect |