Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
460 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 460 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. #19099234 | C2 | semidirect |
| 2. #19099233 | C2 | semidirect |
| 3. #19098939 | C2 | semidirect |
| 4. #19098938 | C2 | semidirect |
| 5. #19098759 | C2 | semidirect |
| 6. #19098757 | C2 | semidirect |
| 7. #19098756 | C2 | semidirect |
| 8. #19098687 | C2 | semidirect |
| 9. C4×#11929609 | C2 | semidirect |
| 10. #19098643 | C2 | semidirect |
| 11. #459×C79 | C2 | semidirect |
| 109. Dic158 | D8 | semidirect |
| 112. C79⋊C8 | #41 | semidirect |
| 142. C79 | #3391 | semidirect |
| 150. #459 | D79 | semidirect |