Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
406 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19099287 | C2 | semidirect |
| 2. #19099234 | C2 | semidirect |
| 3. #19098949 | C2 | semidirect |
| 4. #19098937 | C2 | semidirect |
| 5. #19098781 | C2 | semidirect |
| 6. #19098761 | C2 | semidirect |
| 7. #19098759 | C2 | semidirect |
| 8. #19098690 | C2 | semidirect |
| 9. #19098666 | C2 | semidirect |
| 10. C4×#11929609 | C2 | semidirect |
| 11. #461×C79 | C2 | semidirect |
| 106. C79⋊C8 | #41 | semidirect |
| 133. C79 | #3397 | semidirect |
| 139. #461 | D79 | semidirect |