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×#14579187 | C2 | semidirect |
| 2. C2×#14579167 | C2 | semidirect |
| 3. #19099144 | C2 | semidirect |
| 4. #19099130 | C2 | semidirect |
| 5. #19098815 | C2 | semidirect |
| 6. #19098808 | C2 | semidirect |
| 7. #19098798 | C2 | semidirect |
| 8. #19098791 | C2 | semidirect |
| 9. #19098603 | C2 | semidirect |
| 10. #19098560 | C2 | semidirect |
| 11. C2×#102×C79 | C2 | semidirect |
| 19. C2×#11929607 | C22 | semidirect |
| 20. C2×C8×D79 | C22 | semidirect |
| 24. #14579141 | C22 | semidirect |
| 26. #14579136 | C22 | semidirect |
| 32. #14579094 | C22 | semidirect |
| 33. #14579092 | C22 | semidirect |
| 34. #14579086 | C22 | semidirect |
| 35. #14579086 | C22 | semidirect |
| 36. #14579083 | C22 | semidirect |
| 37. #14579083 | C22 | semidirect |
| 60. #11929608 | D4 | semidirect |
| 152. C79 | #3062 | semidirect |
| 163. C2×#102 | D79 | semidirect |