Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#14579189 | C2 | semidirect |
| 2. C22×#11929609 | C2 | semidirect |
| 3. #19099130 | C2 | semidirect |
| 4. #19099037 | C2 | semidirect |
| 5. #19098777 | C2 | semidirect |
| 6. #19098757 | C2 | semidirect |
| 7. #19098591 | C2 | semidirect |
| 8. #19098557 | C2 | semidirect |
| 9. #418×C79 | C2 | semidirect |
| 13. C2×#11929613 | C22 | semidirect |
| 14. C2×D632 | C22 | semidirect |
| 18. #14579157 | C22 | semidirect |
| 19. #14579148 | C22 | semidirect |
| 23. #14579123 | C22 | semidirect |
| 26. Dic79⋊C8 | C22 | semidirect |
| 27. #14579084 | C22 | semidirect |
| 28. #14579081 | C22 | semidirect |
| 32. #102×C79 | C22 | semidirect |
| 39. C2×D316 | D4 | semidirect |
| 122. C79 | #3041 | semidirect |
| 130. #418 | D79 | semidirect |
| 154. #102 | C2×D79 | semidirect |