Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. C2×Q8×Dic79 | C2 | semidirect |
| 3. #19098896 | C2 | semidirect |
| 5. #19098868 | C2 | semidirect |
| 6. #19098787 | C2 | semidirect |
| 8. #19098670 | C2 | semidirect |
| 9. #19098666 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 11. #451×C79 | C2 | semidirect |
| 132. C79 | #3117 | semidirect |
| 139. #451 | D79 | semidirect |