Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099097 | C2 | semidirect |
| 2. #19098945 | C2 | semidirect |
| 3. #19098917 | C2 | semidirect |
| 4. #19098782 | C2 | semidirect |
| 5. #19098775 | C2 | semidirect |
| 6. #19098719 | C2 | semidirect |
| 7. #19098714 | C2 | semidirect |
| 8. #19098702 | C2 | semidirect |
| 10. #19098616 | C2 | semidirect |
| 11. C2×#124×C79 | C2 | semidirect |
| 12. C2×#11929614 | C22 | semidirect |
| 14. C2×#11929611 | C22 | semidirect |
| 17. #14579153 | C22 | semidirect |
| 18. #14579149 | C22 | semidirect |
| 22. C4×Dic158 | C22 | semidirect |
| 23. C4×D316 | C22 | semidirect |
| 26. C4⋊(C79⋊C8) | C22 | semidirect |
| 27. #14579085 | C22 | semidirect |
| 28. #14579085 | C22 | semidirect |
| 33. C4×C79⋊C8 | C22 | semidirect |
| 144. C79 | #3211 | semidirect |
| 146. C2×#124 | D79 | semidirect |