Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#14579135 | C2 | semidirect |
| 2. #19098896 | C2 | semidirect |
| 3. #19098887 | C2 | semidirect |
| 4. #19098879 | C2 | semidirect |
| 5. #19098797 | C2 | semidirect |
| 6. #19098794 | C2 | semidirect |
| 7. #19098713 | C2 | semidirect |
| 8. #19098708 | C2 | semidirect |
| 9. #19098696 | C2 | semidirect |
| 10. C2×C22⋊(C79⋊C8) | C2 | semidirect |
| 11. #525×C79 | C2 | semidirect |
| 14. C2×#11929611 | C22 | semidirect |
| 15. C2×#11929609 | C22 | semidirect |
| 16. C22×C79⋊C8 | C22 | semidirect |
| 23. #14579094 | C22 | semidirect |
| 24. #14579092 | C22 | semidirect |
| 25. #14579085 | C22 | semidirect |
| 26. #14579082 | C22 | semidirect |
| 27. #14579081 | C22 | semidirect |
| 28. #14579081 | C22 | semidirect |
| 31. C22⋊(C79⋊C8) | C22 | semidirect |
| 32. C2×#41×C79 | C22 | semidirect |
| 36. C22⋊Q8×C79 | C22 | semidirect |
| 38. #121×C79 | C22 | semidirect |
| 42. #117×C79 | C22 | semidirect |
| 159. C79 | #3188 | semidirect |
| 160. #525 | D79 | semidirect |
| 171. C2×#41 | C2×D79 | semidirect |
| 180. C22⋊Q8 | C2×D79 | semidirect |
| 186. #121 | C2×D79 | semidirect |
| 190. #117 | C2×D79 | semidirect |