Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
438 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 438 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. #19099113 | C2 | semidirect |
| 2. #19098939 | C2 | semidirect |
| 3. #19098935 | C2 | semidirect |
| 4. #19098915 | C2 | semidirect |
| 5. #19098911 | C2 | semidirect |
| 6. #19098778 | C2 | semidirect |
| 7. #19098706 | C2 | semidirect |
| 8. #19098616 | C2 | semidirect |
| 9. #532×C79 | C2 | semidirect |
| 121. C79 | #3207 | semidirect |
| 123. #532 | D79 | semidirect |