Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
336 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19099288 | C2 | semidirect |
| 4. #19098868 | C2 | semidirect |
| 7. #19098770 | C2 | semidirect |
| 8. C8×Dic158 | C2 | semidirect |
| 9. #19098655 | C2 | semidirect |
| 11. #487×C79 | C2 | semidirect |
| 116. C79 | #3364 | semidirect |
| 120. #487 | D79 | semidirect |