Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
366 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19099119 | C2 | semidirect |
| 3. #19098973 | C2 | semidirect |
| 4. #19098972 | C2 | semidirect |
| 5. #19098927 | C2 | semidirect |
| 6. #19098886 | C2 | semidirect |
| 7. #19098885 | C2 | semidirect |
| 8. #19098851 | C2 | semidirect |
| 9. #19098841 | C2 | semidirect |
| 10. #19098618 | C2 | semidirect |
| 11. #490×C79 | C2 | semidirect |
| 129. C79 | #3235 | semidirect |
| 135. #490 | D79 | semidirect |