Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
704 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 161 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×#14579191 | C2 | semidirect |
| 2. #19099134 | C2 | semidirect |
| 3. #19098746 | C2 | semidirect |
| 4. #19098741 | C2 | semidirect |
| 5. #19098580 | C2 | semidirect |
| 6. #19098547 | C2 | semidirect |
| 8. C22×Dic158 | C22 | semidirect |
| 10. #14579191 | C22 | semidirect |
| 13. C2×#11929608 | C22 | semidirect |
| 14. #14579159 | C22 | semidirect |
| 15. #14579148 | C22 | semidirect |
| 18. #14579120 | C22 | semidirect |
| 19. #14579088 | C22 | semidirect |
| 20. #14579080 | C22 | semidirect |
| 21. #14579078 | C22 | semidirect |
| 130. C79 | #3022 | semidirect |