Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
352 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19099273 | C2 | semidirect |
| 2. #19098966 | C2 | semidirect |
| 3. #19098962 | C2 | semidirect |
| 4. #19098863 | C2 | semidirect |
| 5. #19098860 | C2 | semidirect |
| 6. #19098853 | C2 | semidirect |
| 7. #19098850 | C2 | semidirect |
| 8. Q8×C79⋊C8 | C2 | semidirect |
| 11. #554×C79 | C2 | semidirect |
| 45. #11929609 | Q8 | semidirect |
| 120. C79 | #3380 | semidirect |
| 122. #554 | D79 | semidirect |