Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
400 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19099116 | C2 | semidirect |
| 3. #19098919 | C2 | semidirect |
| 4. #19098916 | C2 | semidirect |
| 5. #19098912 | C2 | semidirect |
| 6. #19098908 | C2 | semidirect |
| 7. #19098560 | C2 | semidirect |
| 8. #19098559 | C2 | semidirect |
| 9. #19098557 | C2 | semidirect |
| 10. C2×C8×Dic79 | C2 | semidirect |
| 11. #416×C79 | C2 | semidirect |
| 126. C79 | #3131 | semidirect |
| 136. #416 | D79 | semidirect |