Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
460 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 460 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. D4×D316 | C2 | semidirect |
| 2. #19098911 | C2 | semidirect |
| 3. #19098887 | C2 | semidirect |
| 4. #19098850 | C2 | semidirect |
| 5. #19098814 | C2 | semidirect |
| 6. #19098758 | C2 | semidirect |
| 7. #19098696 | C2 | semidirect |
| 8. C4×#11929609 | C2 | semidirect |
| 9. #19098641 | C2 | semidirect |
| 10. #19098567 | C2 | semidirect |
| 11. #555×C79 | C2 | semidirect |
| 15. C2×#11929609 | C22 | semidirect |
| 16. C2×#11929608 | C22 | semidirect |
| 22. #14579094 | C22 | semidirect |
| 23. #14579092 | C22 | semidirect |
| 24. C4⋊(C79⋊C8) | C22 | semidirect |
| 25. #14579082 | C22 | semidirect |
| 28. #14579081 | C22 | semidirect |
| 29. #14579081 | C22 | semidirect |
| 30. #14579081 | C22 | semidirect |
| 31. C22⋊(C79⋊C8) | C22 | semidirect |
| 32. C4×C79⋊C8 | C22 | semidirect |
| 33. C4⋊Q8×C79 | C22 | semidirect |
| 36. #121×C79 | C22 | semidirect |
| 38. C4×D4×C79 | C22 | semidirect |
| 40. #117×C79 | C22 | semidirect |
| 141. C79 | #3325 | semidirect |
| 142. #555 | D79 | semidirect |
| 158. C4⋊Q8 | C2×D79 | semidirect |
| 164. #121 | C2×D79 | semidirect |
| 168. C4×D4 | C2×D79 | semidirect |
| 170. #117 | C2×D79 | semidirect |