Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
448 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 448 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. #19099287 | C2 | semidirect |
| 3. #19098911 | C2 | semidirect |
| 4. #19098890 | C2 | semidirect |
| 5. #19098810 | C2 | semidirect |
| 6. #19098764 | C2 | semidirect |
| 7. #19098715 | C2 | semidirect |
| 8. C4×#11929612 | C2 | semidirect |
| 9. #19098640 | C2 | semidirect |
| 10. #19098566 | C2 | semidirect |
| 11. #474×C79 | C2 | semidirect |
| 14. C2×#11929613 | C22 | semidirect |
| 16. C2×#11929607 | C22 | semidirect |
| 20. #14579141 | C22 | semidirect |
| 25. C4×Dic158 | C22 | semidirect |
| 27. #14579119 | C22 | semidirect |
| 28. #14579092 | C22 | semidirect |
| 29. #14579084 | C22 | semidirect |
| 30. #14579083 | C22 | semidirect |
| 32. #14579081 | C22 | semidirect |
| 33. #14579081 | C22 | semidirect |
| 34. (C2×D79)⋊C8 | C22 | semidirect |
| 35. C4×C79⋊C8 | C22 | semidirect |
| 36. C4⋊Q8×C79 | C22 | semidirect |
| 38. #107×C79 | C22 | semidirect |
| 39. C4⋊C8×C79 | C22 | semidirect |
| 136. C79 | #3324 | semidirect |
| 141. #474 | D79 | semidirect |
| 153. C4⋊Q8 | C2×D79 | semidirect |
| 166. #107 | C2×D79 | semidirect |
| 168. C4⋊C8 | C2×D79 | semidirect |