Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 444 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. #19099113 | C2 | semidirect |
| 2. #19098953 | C2 | semidirect |
| 3. #19098922 | C2 | semidirect |
| 4. #19098775 | C2 | semidirect |
| 5. #19098702 | C2 | semidirect |
| 6. #19098697 | C2 | semidirect |
| 7. #19098620 | C2 | semidirect |
| 8. C2×#124×C79 | C2 | semidirect |
| 10. C2×#11929611 | C22 | semidirect |
| 12. #14579161 | C22 | semidirect |
| 13. #14579158 | C22 | semidirect |
| 18. C4×D316 | C22 | semidirect |
| 19. C4⋊(C79⋊C8) | C22 | semidirect |
| 20. #14579085 | C22 | semidirect |
| 23. #14579072 | C22 | semidirect |
| 121. C79 | #3213 | semidirect |
| 123. C2×#124 | D79 | semidirect |