Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
322 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. #19098970 | C2 | semidirect |
| 4. #19098930 | C2 | semidirect |
| 7. #19098859 | C2 | semidirect |
| 8. #19098858 | C2 | semidirect |
| 9. #19098845 | C2 | semidirect |
| 11. #475×C79 | C2 | semidirect |
| 126. C79 | #3237 | semidirect |
| 136. #475 | D79 | semidirect |