Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
414 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 414 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. C2×#14579140 | C2 | semidirect |
| 2. #19098904 | C2 | semidirect |
| 3. #19098896 | C2 | semidirect |
| 4. #19098879 | C2 | semidirect |
| 5. #19098819 | C2 | semidirect |
| 6. #19098807 | C2 | semidirect |
| 7. #19098725 | C2 | semidirect |
| 8. #19098718 | C2 | semidirect |
| 9. #19098701 | C2 | semidirect |
| 10. #19098527 | C2 | semidirect |
| 13. C2×#11929614 | C22 | semidirect |
| 14. C2×#11929612 | C22 | semidirect |
| 23. #14579094 | C22 | semidirect |
| 24. #14579092 | C22 | semidirect |
| 25. #14579085 | C22 | semidirect |
| 26. #14579084 | C22 | semidirect |
| 27. #14579084 | C22 | semidirect |
| 28. #14579082 | C22 | semidirect |
| 150. C79 | #3196 | semidirect |