Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
460 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 460 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. #19099278 | C2 | semidirect |
| 2. D4×D316 | C2 | semidirect |
| 3. #19098910 | C2 | semidirect |
| 4. #19098890 | C2 | semidirect |
| 5. #19098853 | C2 | semidirect |
| 6. #19098815 | C2 | semidirect |
| 7. #19098758 | C2 | semidirect |
| 8. #19098695 | C2 | semidirect |
| 9. #19098642 | C2 | semidirect |
| 10. #19098566 | C2 | semidirect |
| 11. C4×D8×C79 | C2 | semidirect |
| 14. C2×#11929609 | C22 | semidirect |
| 15. C2×#11929607 | C22 | semidirect |
| 16. #14579161 | C22 | semidirect |
| 22. #14579132 | C22 | semidirect |
| 26. #14579119 | C22 | semidirect |
| 27. #14579092 | C22 | semidirect |
| 28. C4⋊(C79⋊C8) | C22 | semidirect |
| 29. #14579083 | C22 | semidirect |
| 30. #14579083 | C22 | semidirect |
| 32. #14579081 | C22 | semidirect |
| 33. (C2×D79)⋊C8 | C22 | semidirect |
| 36. C4×D4×C79 | C22 | semidirect |
| 37. #107×C79 | C22 | semidirect |
| 39. #102×C79 | C22 | semidirect |
| 40. C4×C8×C79 | C22 | semidirect |
| 141. C79 | #3325 | semidirect |
| 150. C4×D8 | D79 | semidirect |
| 168. C4×D4 | C2×D79 | semidirect |
| 171. #107 | C2×D79 | semidirect |
| 179. #102 | C2×D79 | semidirect |
| 181. C4×C8 | C2×D79 | semidirect |