Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
352 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 131 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. #19099272 | C2 | semidirect |
| 2. #19098967 | C2 | semidirect |
| 3. #19098965 | C2 | semidirect |
| 4. #19098964 | C2 | semidirect |
| 5. #19098865 | C2 | semidirect |
| 6. #19098863 | C2 | semidirect |
| 7. #19098851 | C2 | semidirect |
| 8. C8×Dic158 | C2 | semidirect |
| 61. D8×C79 | Q8 | semidirect |
| 109. C79 | #3380 | semidirect |
| 154. D8 | Dic158 | semidirect |