Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14579167 | C2 | semidirect |
| 2. #19099137 | C2 | semidirect |
| 4. #19098806 | C2 | semidirect |
| 5. #19098789 | C2 | semidirect |
| 6. #19098601 | C2 | semidirect |
| 7. #19098572 | C2 | semidirect |
| 8. #19098568 | C2 | semidirect |
| 9. C22×SD16×C79 | C2 | semidirect |
| 13. C2×#11929607 | C22 | semidirect |
| 14. C2×C8×D79 | C22 | semidirect |
| 20. #14579137 | C22 | semidirect |
| 25. #14579095 | C22 | semidirect |
| 26. #14579093 | C22 | semidirect |
| 27. #14579085 | C22 | semidirect |
| 68. C2×C8×C79 | D4 | semidirect |
| 121. C79 | #3057 | semidirect |
| 122. C22×SD16 | D79 | semidirect |
| 180. C2×C8 | C22⋊D79 | semidirect |