Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19099115 | C2 | semidirect |
| 3. #19098899 | C2 | semidirect |
| 4. #19098896 | C2 | semidirect |
| 5. #19098841 | C2 | semidirect |
| 6. #19098766 | C2 | semidirect |
| 8. #19098664 | C2 | semidirect |
| 9. #19098660 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 14. #14579160 | C22 | semidirect |
| 15. #14579159 | C22 | semidirect |
| 19. Q8×Dic79 | C22 | semidirect |
| 21. #14579126 | C22 | semidirect |
| 30. #14579095 | C22 | semidirect |
| 31. #14579094 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579085 | C22 | semidirect |
| 37. #14579071 | C22 | semidirect |
| 137. C79 | #3110 | semidirect |