Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 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. #19099288 | C2 | semidirect |
| 3. #19098954 | C2 | semidirect |
| 4. #19098783 | C2 | semidirect |
| 5. #19098770 | C2 | semidirect |
| 6. #19098766 | C2 | semidirect |
| 8. #19098693 | C2 | semidirect |
| 9. #19098664 | C2 | semidirect |
| 10. C4×Dic316 | C2 | semidirect |
| 122. C79 | #3400 | semidirect |