Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
466 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19099076 | C2 | semidirect |
| 2. C2×#14579136 | C2 | semidirect |
| 3. #19098889 | C2 | semidirect |
| 4. #19098876 | C2 | semidirect |
| 5. #19098817 | C2 | semidirect |
| 6. #19098812 | C2 | semidirect |
| 7. #19098713 | C2 | semidirect |
| 8. #19098711 | C2 | semidirect |
| 9. #19098699 | C2 | semidirect |
| 10. #19098525 | C2 | semidirect |
| 11. #483×C79 | C2 | semidirect |
| 12. C2×#11929625 | C22 | semidirect |
| 16. C2×#11929611 | C22 | semidirect |
| 17. C2×D632 | C22 | semidirect |
| 18. C2×#11929607 | C22 | semidirect |
| 20. #14579137 | C22 | semidirect |
| 25. #14579136 | C22 | semidirect |
| 30. #14579119 | C22 | semidirect |
| 32. #14579094 | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 34. #14579081 | C22 | semidirect |
| 35. #14579081 | C22 | semidirect |
| 37. (C2×D79)⋊C8 | C22 | semidirect |
| 40. #106×C79 | C22 | semidirect |
| 41. #103×C79 | C22 | semidirect |
| 159. C79 | #3194 | semidirect |
| 162. #483 | D79 | semidirect |
| 194. #106 | C2×D79 | semidirect |
| 195. #103 | C2×D79 | semidirect |