Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
366 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 366 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. #19099266 | C2 | semidirect |
| 2. #19098889 | C2 | semidirect |
| 3. #19098883 | C2 | semidirect |
| 4. #19098860 | C2 | semidirect |
| 5. #19098800 | C2 | semidirect |
| 6. #19098800 | C2 | semidirect |
| 7. C4×D632 | C2 | semidirect |
| 8. C8×D316 | C2 | semidirect |
| 9. #19098600 | C2 | semidirect |
| 10. #107×D79 | C2 | semidirect |
| 11. #499×C79 | C2 | semidirect |
| 121. C79 | #3339 | semidirect |
| 123. #499 | D79 | semidirect |