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. #19099182 | C2 | semidirect |
| 2. #19098968 | C2 | semidirect |
| 3. #19098922 | C2 | semidirect |
| 4. #19098806 | C2 | semidirect |
| 5. #19098801 | C2 | semidirect |
| 7. #19098664 | C2 | semidirect |
| 8. Q16×Dic79 | C2 | semidirect |
| 9. D8×Dic79 | C2 | semidirect |
| 10. #19098517 | C2 | semidirect |
| 11. #495×C79 | C2 | semidirect |
| 118. C79 | #3175 | semidirect |
| 121. #495 | D79 | semidirect |