Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
354 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19099270 | C2 | semidirect |
| 2. #19098966 | C2 | semidirect |
| 3. #19098904 | C2 | semidirect |
| 4. #19098874 | C2 | semidirect |
| 5. #19098855 | C2 | semidirect |
| 6. #19098853 | C2 | semidirect |
| 7. #19098807 | C2 | semidirect |
| 8. C4×#11929612 | C2 | semidirect |
| 9. #19098641 | C2 | semidirect |
| 10. #19098606 | C2 | semidirect |
| 122. C79 | #3357 | semidirect |