Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
410 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19099111 | C2 | semidirect |
| 2. #19099092 | C2 | semidirect |
| 3. #19098972 | C2 | semidirect |
| 4. #19098927 | C2 | semidirect |
| 5. #19098922 | C2 | semidirect |
| 6. #19098796 | C2 | semidirect |
| 7. #19098789 | C2 | semidirect |
| 8. #19098675 | C2 | semidirect |
| 9. #19098664 | C2 | semidirect |
| 10. #97×D79 | C2 | semidirect |
| 11. #496×C79 | C2 | semidirect |
| 109. C8×C79 | #41 | semidirect |
| 138. C79 | #3180 | semidirect |
| 142. #496 | D79 | semidirect |
| 248. C8 | #11929623 | semidirect |