Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
488 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19099117 | C2 | semidirect |
| 3. #19098934 | C2 | semidirect |
| 4. #19098908 | C2 | semidirect |
| 5. #19098764 | C2 | semidirect |
| 6. #19098763 | C2 | semidirect |
| 7. #19098760 | C2 | semidirect |
| 8. #19098715 | C2 | semidirect |
| 9. #19098712 | C2 | semidirect |
| 10. #19098615 | C2 | semidirect |
| 11. #460×C79 | C2 | semidirect |
| 15. C2×#11929613 | C22 | semidirect |
| 16. C2×#11929612 | C22 | semidirect |
| 17. C2×#11929611 | C22 | semidirect |
| 18. #14579160 | C22 | semidirect |
| 19. #14579159 | C22 | semidirect |
| 29. C4×Dic158 | C22 | semidirect |
| 32. C4⋊(C79⋊C8) | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 34. #14579082 | C22 | semidirect |
| 35. #14579081 | C22 | semidirect |
| 37. C8×Dic79 | C22 | semidirect |
| 38. C2×SD16×C79 | C22 | semidirect |
| 40. C4×Q8×C79 | C22 | semidirect |
| 41. C4⋊C8×C79 | C22 | semidirect |
| 42. #102×C79 | C22 | semidirect |
| 118. C4×D79 | SD16 | semidirect |
| 153. C79 | #3208 | semidirect |
| 161. #460 | D79 | semidirect |
| 171. C2×SD16 | C2×D79 | semidirect |
| 185. C4×Q8 | C2×D79 | semidirect |
| 189. C4⋊C8 | C2×D79 | semidirect |
| 193. #102 | C2×D79 | semidirect |