Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 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. #19099269 | C2 | semidirect |
| 2. #19098970 | C2 | semidirect |
| 3. #19098866 | C2 | semidirect |
| 4. #19098860 | C2 | semidirect |
| 5. #19098842 | C2 | semidirect |
| 6. #19098693 | C2 | semidirect |
| 9. #499×C79 | C2 | semidirect |
| 41. D632 | Q8 | semidirect |
| 97. C79 | #3389 | semidirect |
| 100. #499 | D79 | semidirect |