Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
370 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 370 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 |
|---|---|---|
| 1. #19099092 | C2 | semidirect |
| 2. #19098965 | C2 | semidirect |
| 3. #19098917 | C2 | semidirect |
| 4. #19098818 | C2 | semidirect |
| 6. #19098806 | C2 | semidirect |
| 7. #19098675 | C2 | semidirect |
| 8. #19098670 | C2 | semidirect |
| 9. #19098664 | C2 | semidirect |
| 10. C4×#11929607 | C2 | semidirect |
| 11. #495×C79 | C2 | semidirect |
| 110. C79 | #3183 | semidirect |
| 113. #495 | D79 | semidirect |