Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099187 | C2 | semidirect |
| 2. #19098947 | C2 | semidirect |
| 3. #19098925 | C2 | semidirect |
| 4. #19098822 | C2 | semidirect |
| 6. #19098793 | C2 | semidirect |
| 7. #19098674 | C2 | semidirect |
| 8. #19098669 | C2 | semidirect |
| 9. #19098650 | C2 | semidirect |
| 10. #19098517 | C2 | semidirect |
| 11. #498×C79 | C2 | semidirect |
| 110. C79 | #3173 | semidirect |
| 112. #498 | D79 | semidirect |