Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 4. #19098845 | C2 | semidirect |
| 5. #19098774 | C2 | semidirect |
| 6. #19098773 | C2 | semidirect |
| 8. #19098669 | C2 | semidirect |
| 9. #19098667 | C2 | semidirect |
| 11. #475×C79 | C2 | semidirect |
| 133. C79 | #3113 | semidirect |
| 138. #475 | D79 | semidirect |