Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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×#14579186 | C2 | semidirect |
| 2. C2×#14579167 | C2 | semidirect |
| 3. #19099141 | C2 | semidirect |
| 4. #19099132 | C2 | semidirect |
| 5. #19098815 | C2 | semidirect |
| 6. #19098812 | C2 | semidirect |
| 7. #19098798 | C2 | semidirect |
| 8. #19098795 | C2 | semidirect |
| 9. #19098606 | C2 | semidirect |
| 10. C2×#14579083 | C2 | semidirect |
| 11. #416×C79 | C2 | semidirect |
| 19. C2×#11929607 | C22 | semidirect |
| 20. C2×C8×D79 | C22 | semidirect |
| 24. #14579137 | C22 | semidirect |
| 29. #14579132 | C22 | semidirect |
| 32. #14579094 | C22 | semidirect |
| 33. #14579092 | C22 | semidirect |
| 39. #103×C79 | C22 | semidirect |
| 40. #103×C79 | C22 | semidirect |
| 41. #102×C79 | C22 | semidirect |
| 42. #102×C79 | C22 | semidirect |
| 60. #11929608 | D4 | semidirect |
| 152. C79 | #3062 | semidirect |
| 162. #416 | D79 | semidirect |
| 189. #103 | C2×D79 | semidirect |
| 190. #103 | C2×D79 | semidirect |
| 193. #102 | C2×D79 | semidirect |
| 194. #102 | C2×D79 | semidirect |