Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
410 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 137 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. #19098904 | C2 | semidirect |
| 3. #19098898 | C2 | semidirect |
| 4. #19098893 | C2 | semidirect |
| 5. #19098606 | C2 | semidirect |
| 6. #19098571 | C2 | semidirect |
| 18. #14579094 | C22 | semidirect |
| 19. #14579092 | C22 | semidirect |
| 20. #14579084 | C22 | semidirect |
| 21. #14579084 | C22 | semidirect |
| 117. C79 | #3095 | semidirect |