Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
406 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099233 | C2 | semidirect |
| 3. #19098949 | C2 | semidirect |
| 4. #19098780 | C2 | semidirect |
| 5. #19098765 | C2 | semidirect |
| 6. #19098761 | C2 | semidirect |
| 7. #19098755 | C2 | semidirect |
| 8. #19098693 | C2 | semidirect |
| 9. #19098664 | C2 | semidirect |
| 10. C4×D632 | C2 | semidirect |
| 11. #492×C79 | C2 | semidirect |
| 105. C8×C79 | #41 | semidirect |
| 133. C79 | #3397 | semidirect |
| 137. #492 | D79 | semidirect |
| 239. C8 | #11929623 | semidirect |