Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
274 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19098432 | C2 | semidirect |
| 5. #19098325 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 7. #340×C79 | C2 | semidirect |
| 119. C79 | #2071 | semidirect |
| 125. #340 | D79 | semidirect |