Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 4. #19098469 | C2 | semidirect |
| 5. #19098469 | C2 | semidirect |
| 6. #19098448 | C2 | semidirect |
| 7. #19098433 | C2 | semidirect |
| 8. #19098429 | C2 | semidirect |
| 109. C79 | #2499 | semidirect |