Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
332 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 332 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. #19099120 | C2 | semidirect |
| 2. #19098962 | C2 | semidirect |
| 3. #19098917 | C2 | semidirect |
| 4. #19098901 | C2 | semidirect |
| 6. #19098858 | C2 | semidirect |
| 7. #19098853 | C2 | semidirect |
| 8. #19098848 | C2 | semidirect |
| 9. #19098843 | C2 | semidirect |
| 10. #19098616 | C2 | semidirect |
| 130. C79 | #3233 | semidirect |