Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
392 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 2. #125×D79 | C2 | semidirect |
| 3. #19098931 | C2 | semidirect |
| 4. #19098929 | C2 | semidirect |
| 5. #19098928 | C2 | semidirect |
| 6. #19098919 | C2 | semidirect |
| 7. #19098563 | C2 | semidirect |
| 8. #19098515 | C2 | semidirect |
| 9. #491×C79 | C2 | semidirect |
| 91. C79 | #3142 | semidirect |
| 95. #491 | D79 | semidirect |