Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
260 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19098718 | C2 | semidirect |
| 2. #19098701 | C2 | semidirect |
| 3. #19098475 | C2 | semidirect |
| 4. #19098300 | C2 | semidirect |
| 5. #19098297 | C2 | semidirect |
| 6. #19098287 | C2 | semidirect |
| 121. C79 | #1606 | semidirect |