Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
350 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 350 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. #19099288 | C2 | semidirect |
| 5. #19098771 | C2 | semidirect |
| 6. #19098770 | C2 | semidirect |
| 8. #19098693 | C2 | semidirect |
| 9. #19098670 | C2 | semidirect |
| 11. #494×C79 | C2 | semidirect |
| 120. C79 | #3398 | semidirect |
| 124. #494 | D79 | semidirect |