Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
366 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 366 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 |
|---|---|---|
| 1. #19099118 | C2 | semidirect |
| 3. #19098971 | C2 | semidirect |
| 4. #19098926 | C2 | semidirect |
| 5. #19098890 | C2 | semidirect |
| 6. #19098886 | C2 | semidirect |
| 7. #19098854 | C2 | semidirect |
| 8. #19098853 | C2 | semidirect |
| 9. #19098840 | C2 | semidirect |
| 10. #19098619 | C2 | semidirect |
| 11. #474×C79 | C2 | semidirect |
| 139. C79 | #3235 | semidirect |
| 149. #474 | D79 | semidirect |