Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19099288 | C2 | semidirect |
| 3. #19098937 | C2 | semidirect |
| 4. #19098934 | C2 | semidirect |
| 5. #19098767 | C2 | semidirect |
| 6. #19098764 | C2 | semidirect |
| 7. #19098761 | C2 | semidirect |
| 8. #19098687 | C2 | semidirect |
| 9. C4×#11929612 | C2 | semidirect |
| 10. #19098648 | C2 | semidirect |
| 11. #461×C79 | C2 | semidirect |
| 102. Dic158 | SD16 | semidirect |
| 105. C79⋊C8 | #41 | semidirect |
| 129. C79 | #3392 | semidirect |
| 135. #461 | D79 | semidirect |