Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 2. #19099291 | C2 | semidirect |
| 3. #19098954 | C2 | semidirect |
| 5. #19098784 | C2 | semidirect |
| 6. #19098774 | C2 | semidirect |
| 7. #19098766 | C2 | semidirect |
| 8. #19098690 | C2 | semidirect |
| 9. #19098660 | C2 | semidirect |
| 10. C4×#11929614 | C2 | semidirect |
| 122. C79 | #3400 | semidirect |