Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
364 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 364 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. #19099118 | C2 | semidirect |
| 3. #19098957 | C2 | semidirect |
| 4. #19098933 | C2 | semidirect |
| 5. #19098925 | C2 | semidirect |
| 6. #19098822 | C2 | semidirect |
| 8. #19098657 | C2 | semidirect |
| 9. #19098650 | C2 | semidirect |
| 10. #19098515 | C2 | semidirect |
| 11. #501×C79 | C2 | semidirect |
| 130. C79 | #3172 | semidirect |
| 133. #501 | D79 | semidirect |