Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
752 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 165 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×#14579191 | C2 | semidirect |
| 2. C22×#11929612 | C2 | semidirect |
| 3. #19099134 | C2 | semidirect |
| 4. #19098725 | C2 | semidirect |
| 5. #19098714 | C2 | semidirect |
| 6. #19098568 | C2 | semidirect |
| 7. #19098559 | C2 | semidirect |
| 8. #19098530 | C2 | semidirect |
| 10. C22×Dic158 | C22 | semidirect |
| 12. C2×#11929614 | C22 | semidirect |
| 14. C2×#11929612 | C22 | semidirect |
| 15. C2×#11929612 | C22 | semidirect |
| 16. C2×#11929608 | C22 | semidirect |
| 17. C22×C79⋊C8 | C22 | semidirect |
| 21. #14579140 | C22 | semidirect |
| 22. #14579120 | C22 | semidirect |
| 23. #14579085 | C22 | semidirect |
| 24. #14579082 | C22 | semidirect |
| 25. #14579082 | C22 | semidirect |
| 26. C22⋊(C79⋊C8) | C22 | semidirect |
| 147. C79 | #3009 | semidirect |