Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
408 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19099111 | C2 | semidirect |
| 2. #19099098 | C2 | semidirect |
| 3. #19098973 | C2 | semidirect |
| 4. #19098950 | C2 | semidirect |
| 5. #19098923 | C2 | semidirect |
| 6. #19098815 | C2 | semidirect |
| 7. #19098808 | C2 | semidirect |
| 8. #19098654 | C2 | semidirect |
| 9. #19098643 | C2 | semidirect |
| 10. #19098515 | C2 | semidirect |
| 11. #490×C79 | C2 | semidirect |
| 110. C79⋊C8 | #41 | semidirect |
| 138. C79 | #3171 | semidirect |
| 143. #490 | D79 | semidirect |