Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099380 | C2 | semidirect |
| 2. #19099377 | C2 | semidirect |
| 3. #19098943 | C2 | semidirect |
| 4. #19098839 | C2 | semidirect |
| 5. #19098838 | C2 | semidirect |
| 6. #19098747 | C2 | semidirect |
| 7. #19098681 | C2 | semidirect |
| 8. #443×C79 | C2 | semidirect |
| 100. C79 | #3293 | semidirect |
| 108. #443 | D79 | semidirect |