Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 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. C22×#11929612 | C2 | semidirect |
| 2. #19099134 | C2 | semidirect |
| 3. #19099038 | C2 | semidirect |
| 4. #19098776 | C2 | semidirect |
| 5. #19098766 | C2 | semidirect |
| 6. #19098591 | C2 | semidirect |
| 7. #19098573 | C2 | semidirect |
| 8. #19098559 | C2 | semidirect |
| 14. #14579159 | C22 | semidirect |
| 15. #14579148 | C22 | semidirect |
| 23. Dic79⋊C8 | C22 | semidirect |
| 24. #14579086 | C22 | semidirect |
| 25. #14579085 | C22 | semidirect |
| 26. #14579082 | C22 | semidirect |
| 117. C79 | #3042 | semidirect |