Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
366 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099265 | C2 | semidirect |
| 2. #19098964 | C2 | semidirect |
| 3. #19098885 | C2 | semidirect |
| 4. #19098879 | C2 | semidirect |
| 5. #19098861 | C2 | semidirect |
| 6. #19098796 | C2 | semidirect |
| 7. D8×Dic79 | C2 | semidirect |
| 8. C8×C22⋊D79 | C2 | semidirect |
| 9. #19098600 | C2 | semidirect |
| 10. C2×#14579095 | C2 | semidirect |
| 11. #466×C79 | C2 | semidirect |
| 121. C79 | #3339 | semidirect |
| 128. #466 | D79 | semidirect |