Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14579186 | C2 | semidirect |
| 2. C22×#11929609 | C2 | semidirect |
| 3. #19099037 | C2 | semidirect |
| 4. #19098775 | C2 | semidirect |
| 5. #19098755 | C2 | semidirect |
| 6. #19098590 | C2 | semidirect |
| 7. #19098568 | C2 | semidirect |
| 8. #19098559 | C2 | semidirect |
| 9. #535×C79 | C2 | semidirect |
| 12. C2×#11929611 | C22 | semidirect |
| 15. C2×#11929609 | C22 | semidirect |
| 18. C4×D316 | C22 | semidirect |
| 22. C4⋊(C79⋊C8) | C22 | semidirect |
| 23. #14579085 | C22 | semidirect |
| 24. #14579082 | C22 | semidirect |
| 25. #14579082 | C22 | semidirect |
| 28. #127×C79 | C22 | semidirect |
| 29. #124×C79 | C22 | semidirect |
| 36. C2×D316 | D4 | semidirect |
| 122. C79 | #3041 | semidirect |
| 125. #535 | D79 | semidirect |
| 142. #127 | C2×D79 | semidirect |
| 143. #124 | C2×D79 | semidirect |