Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
450 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099094 | C2 | semidirect |
| 2. C2×D4×Dic79 | C2 | semidirect |
| 3. #19098894 | C2 | semidirect |
| 4. #19098874 | C2 | semidirect |
| 5. #19098865 | C2 | semidirect |
| 6. #19098776 | C2 | semidirect |
| 7. #19098714 | C2 | semidirect |
| 8. #19098675 | C2 | semidirect |
| 9. #19098660 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 15. #14579152 | C22 | semidirect |
| 16. #14579148 | C22 | semidirect |
| 19. #14579126 | C22 | semidirect |
| 25. D4×Dic79 | C22 | semidirect |
| 30. #14579094 | C22 | semidirect |
| 31. #14579093 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 35. #14579082 | C22 | semidirect |
| 37. #14579071 | C22 | semidirect |
| 141. C79 | #3114 | semidirect |