Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
752 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 2. C2×#14579191 | C2 | semidirect |
| 3. C22×#11929613 | C2 | semidirect |
| 4. #19099139 | C2 | semidirect |
| 5. #19098728 | C2 | semidirect |
| 6. #19098715 | C2 | semidirect |
| 7. #19098567 | C2 | semidirect |
| 8. #19098529 | C2 | semidirect |
| 9. #416×C79 | C2 | semidirect |
| 15. C22×Dic158 | C22 | semidirect |
| 21. C2×#11929614 | C22 | semidirect |
| 23. C2×#11929613 | C22 | semidirect |
| 24. C2×#11929612 | C22 | semidirect |
| 25. C2×#11929608 | C22 | semidirect |
| 29. #14579141 | C22 | semidirect |
| 30. #14579081 | C22 | semidirect |
| 31. (C2×D79)⋊C8 | C22 | semidirect |
| 33. C22×C8×C79 | C22 | semidirect |
| 34. #117×C79 | C22 | semidirect |
| 35. #103×C79 | C22 | semidirect |
| 36. #102×C79 | C22 | semidirect |
| 147. C79 | #3009 | semidirect |
| 155. #416 | D79 | semidirect |
| 174. C22×C8 | C2×D79 | semidirect |
| 179. #117 | C2×D79 | semidirect |
| 180. #103 | C2×D79 | semidirect |
| 182. #102 | C2×D79 | semidirect |