Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099074 | C2 | semidirect |
| 2. C2×#14579135 | C2 | semidirect |
| 3. #19098899 | C2 | semidirect |
| 4. #19098888 | C2 | semidirect |
| 5. #19098882 | C2 | semidirect |
| 6. #19098799 | C2 | semidirect |
| 7. #19098792 | C2 | semidirect |
| 8. #19098716 | C2 | semidirect |
| 9. #19098710 | C2 | semidirect |
| 10. #19098699 | C2 | semidirect |
| 11. C2×C22⋊C8×C79 | C2 | semidirect |
| 12. C2×#11929624 | C22 | semidirect |
| 15. C2×#11929613 | C22 | semidirect |
| 16. C2×D632 | C22 | semidirect |
| 19. #14579140 | C22 | semidirect |
| 25. #14579135 | C22 | semidirect |
| 29. #14579120 | C22 | semidirect |
| 32. #14579095 | C22 | semidirect |
| 33. #14579093 | C22 | semidirect |
| 34. #14579086 | C22 | semidirect |
| 35. #14579083 | C22 | semidirect |
| 36. #14579083 | C22 | semidirect |
| 37. #14579083 | C22 | semidirect |
| 39. C22×C8×C79 | C22 | semidirect |
| 42. C22⋊C8×C79 | C22 | semidirect |
| 159. C79 | #3188 | semidirect |
| 170. C2×C22⋊C8 | D79 | semidirect |
| 177. C22×C8 | C2×D79 | semidirect |
| 201. C22⋊C8 | C2×D79 | semidirect |