Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
410 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. #19098893 | C2 | semidirect |
| 3. #19098891 | C2 | semidirect |
| 4. #19098819 | C2 | semidirect |
| 5. #19098719 | C2 | semidirect |
| 6. #19098718 | C2 | semidirect |
| 10. C2×#11929614 | C22 | semidirect |
| 19. #14579092 | C22 | semidirect |
| 20. #14579085 | C22 | semidirect |
| 21. #14579084 | C22 | semidirect |
| 121. C79 | #3195 | semidirect |