Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
362 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19098962 | C2 | semidirect |
| 3. #19098937 | C2 | semidirect |
| 4. #19098931 | C2 | semidirect |
| 5. #19098929 | C2 | semidirect |
| 6. #19098811 | C2 | semidirect |
| 7. #19098794 | C2 | semidirect |
| 8. #19098661 | C2 | semidirect |
| 9. C4×#11929611 | C2 | semidirect |
| 10. #19098519 | C2 | semidirect |
| 11. #541×C79 | C2 | semidirect |
| 109. C79 | #3174 | semidirect |
| 110. #541 | D79 | semidirect |