Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. #19098967 | C2 | semidirect |
| 4. #19098912 | C2 | semidirect |
| 8. #19098857 | C2 | semidirect |
| 9. #19098856 | C2 | semidirect |
| 125. C79 | #3230 | semidirect |