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×#14579132 | C2 | semidirect |
| 3. #19098891 | C2 | semidirect |
| 4. #19098885 | C2 | semidirect |
| 5. #19098877 | C2 | semidirect |
| 6. #19098815 | C2 | semidirect |
| 7. #19098806 | C2 | semidirect |
| 8. #19098707 | C2 | semidirect |
| 9. #19098697 | C2 | semidirect |
| 10. #19098525 | C2 | semidirect |
| 11. #450×C79 | C2 | semidirect |
| 12. C2×#11929625 | C22 | semidirect |
| 15. C2×#11929609 | C22 | semidirect |
| 16. C2×#11929607 | C22 | semidirect |
| 18. #14579137 | C22 | semidirect |
| 19. #14579136 | C22 | semidirect |
| 28. #14579119 | C22 | semidirect |
| 31. #14579095 | C22 | semidirect |
| 32. #14579092 | C22 | semidirect |
| 33. #14579085 | C22 | semidirect |
| 34. #14579083 | C22 | semidirect |
| 35. #14579082 | C22 | semidirect |
| 37. (C2×D79)⋊C8 | C22 | semidirect |
| 39. C2×SD16×C79 | C22 | semidirect |
| 41. #102×C79 | C22 | semidirect |
| 159. C79 | #3194 | semidirect |
| 167. #450 | D79 | semidirect |
| 175. C2×SD16 | C2×D79 | semidirect |
| 198. #102 | C2×D79 | semidirect |