Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19099114 | C2 | semidirect |
| 2. #124×D79 | C2 | semidirect |
| 3. #19098953 | C2 | semidirect |
| 4. #19098952 | C2 | semidirect |
| 5. #19098925 | C2 | semidirect |
| 6. #19098781 | C2 | semidirect |
| 7. #19098777 | C2 | semidirect |
| 8. #19098703 | C2 | semidirect |
| 9. #19098698 | C2 | semidirect |
| 10. #19098618 | C2 | semidirect |
| 11. #489×C79 | C2 | semidirect |
| 15. C2×#11929613 | C22 | semidirect |
| 16. C2×#11929611 | C22 | semidirect |
| 19. #14579158 | C22 | semidirect |
| 29. #14579123 | C22 | semidirect |
| 33. Dic79⋊C8 | C22 | semidirect |
| 34. #14579084 | C22 | semidirect |
| 37. #14579072 | C22 | semidirect |
| 38. C4⋊Q8×C79 | C22 | semidirect |
| 40. #103×C79 | C22 | semidirect |
| 42. #97×C79 | C22 | semidirect |
| 151. C79 | #3213 | semidirect |
| 157. #489 | D79 | semidirect |
| 170. C4⋊Q8 | C2×D79 | semidirect |
| 188. #103 | C2×D79 | semidirect |
| 193. #97 | C2×D79 | semidirect |