Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 1. #19099287 | C2 | semidirect |
| 2. #19099283 | C2 | semidirect |
| 4. #19098942 | C2 | semidirect |
| 5. #19098788 | C2 | semidirect |
| 6. #19098783 | C2 | semidirect |
| 7. #19098769 | C2 | semidirect |
| 8. #19098687 | C2 | semidirect |
| 9. #19098655 | C2 | semidirect |
| 11. #461×C79 | C2 | semidirect |
| 124. C79 | #3393 | semidirect |
| 132. #461 | D79 | semidirect |