Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
454 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19098898 | C2 | semidirect |
| 3. #19098881 | C2 | semidirect |
| 4. #19098863 | C2 | semidirect |
| 5. #19098778 | C2 | semidirect |
| 6. #19098714 | C2 | semidirect |
| 8. C4×#11929612 | C2 | semidirect |
| 9. C4×#11929609 | C2 | semidirect |
| 10. #19098616 | C2 | semidirect |
| 11. C2×C4×D4×C79 | C2 | semidirect |
| 15. #14579153 | C22 | semidirect |
| 16. #14579149 | C22 | semidirect |
| 20. C4×Dic158 | C22 | semidirect |
| 21. C4×D316 | C22 | semidirect |
| 24. #14579094 | C22 | semidirect |
| 25. #14579092 | C22 | semidirect |
| 26. C4⋊(C79⋊C8) | C22 | semidirect |
| 27. #14579084 | C22 | semidirect |
| 30. #14579081 | C22 | semidirect |
| 33. C4×C79⋊C8 | C22 | semidirect |
| 141. C79 | #3105 | semidirect |
| 143. C2×C4×D4 | D79 | semidirect |