Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
418 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 418 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. #19099298 | C2 | semidirect |
| 2. #19098950 | C2 | semidirect |
| 3. #19098939 | C2 | semidirect |
| 4. #19098778 | C2 | semidirect |
| 5. #19098760 | C2 | semidirect |
| 6. #19098758 | C2 | semidirect |
| 7. #19098755 | C2 | semidirect |
| 8. #19098694 | C2 | semidirect |
| 9. #19098673 | C2 | semidirect |
| 10. C4×#11929612 | C2 | semidirect |
| 11. #550×C79 | C2 | semidirect |
| 108. C79⋊C8 | #41 | semidirect |
| 135. C79 | #3399 | semidirect |
| 137. #550 | D79 | semidirect |