Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
688 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 173 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 |
|---|---|---|
| 2. #19098463 | C2 | semidirect |
| 3. #19098457 | C2 | semidirect |
| 4. #19098451 | C2 | semidirect |
| 5. #19098439 | C2 | semidirect |
| 6. #19098419 | C2 | semidirect |
| 7. #379×C79 | C2 | semidirect |
| 9. C22×C4×D79 | C22 | semidirect |
| 10. #14579130 | C4 | semidirect |
| 11. C2×Dic79⋊C4 | C22 | semidirect |
| 15. C2×(C2×D79)⋊C4 | C22 | semidirect |
| 16. C2×C4×Dic79 | C22 | semidirect |
| 17. C79⋊#95 | C22 | semidirect |
| 18. C79⋊#95 | C22 | semidirect |
| 33. C22⋊Dic79 | C2×C4 | semidirect |
| 38. C24×C79 | C2×C4 | semidirect |
| 96. C79 | #2375 | semidirect |
| 103. #379 | D79 | semidirect |
| 121. C24 | C4×D79 | semidirect |