Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
410 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 410 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. #19099114 | C2 | semidirect |
| 2. #19099092 | C2 | semidirect |
| 3. #19098969 | C2 | semidirect |
| 4. #19098953 | C2 | semidirect |
| 5. #19098928 | C2 | semidirect |
| 6. #19098798 | C2 | semidirect |
| 7. #19098795 | C2 | semidirect |
| 8. #19098672 | C2 | semidirect |
| 9. #19098666 | C2 | semidirect |
| 10. #97×D79 | C2 | semidirect |
| 11. #489×C79 | C2 | semidirect |
| 110. C79⋊C8 | #41 | semidirect |
| 138. C79 | #3180 | semidirect |
| 144. #489 | D79 | semidirect |