Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 3. #19098859 | C2 | semidirect |
| 4. #19098858 | C2 | semidirect |
| 5. #19098856 | C2 | semidirect |
| 8. #19098771 | C2 | semidirect |
| 9. #19098770 | C2 | semidirect |
| 11. #462×C79 | C2 | semidirect |
| 101. C4×D79 | Q16 | semidirect |
| 130. C79 | #3249 | semidirect |
| 140. #462 | D79 | semidirect |