Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
400 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099118 | C2 | semidirect |
| 3. #19098925 | C2 | semidirect |
| 4. #19098923 | C2 | semidirect |
| 5. #19098922 | C2 | semidirect |
| 6. #19098919 | C2 | semidirect |
| 7. #19098916 | C2 | semidirect |
| 8. #19098570 | C2 | semidirect |
| 10. #19098515 | C2 | semidirect |
| 11. #489×C79 | C2 | semidirect |
| 15. #14579161 | C22 | semidirect |
| 16. #14579152 | C22 | semidirect |
| 30. #14579086 | C22 | semidirect |
| 31. #14579085 | C22 | semidirect |
| 32. #14579084 | C22 | semidirect |
| 36. #14579072 | C22 | semidirect |
| 37. C8×Dic79 | C22 | semidirect |
| 38. C4⋊Q8×C79 | C22 | semidirect |
| 40. #103×C79 | C22 | semidirect |
| 42. #97×C79 | C22 | semidirect |
| 139. C79 | #3140 | semidirect |
| 145. #489 | D79 | semidirect |
| 155. C4⋊Q8 | C2×D79 | semidirect |
| 174. #103 | C2×D79 | semidirect |
| 180. #97 | C2×D79 | semidirect |