Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 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×#11929609 | C2 | semidirect |
| 2. #19099127 | C2 | semidirect |
| 3. #19099038 | C2 | semidirect |
| 4. #19098780 | C2 | semidirect |
| 5. #19098756 | C2 | semidirect |
| 6. #19098591 | C2 | semidirect |
| 7. #19098569 | C2 | semidirect |
| 8. #19098559 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C79 | C2 | semidirect |
| 14. #14579157 | C22 | semidirect |
| 15. #14579150 | C22 | semidirect |
| 19. D4×Dic79 | C22 | semidirect |
| 23. Dic79⋊C8 | C22 | semidirect |
| 24. #14579085 | C22 | semidirect |
| 25. #14579083 | C22 | semidirect |
| 26. #14579082 | C22 | semidirect |
| 30. C2×SD16×C79 | C22 | semidirect |
| 31. C2×D8×C79 | C22 | semidirect |
| 58. C2×D4×C79 | D4 | semidirect |
| 122. C79 | #3041 | semidirect |
| 123. C2×AGL(1,ℤ/8) | D79 | semidirect |
| 136. C2×SD16 | C2×D79 | semidirect |
| 139. C2×D8 | C2×D79 | semidirect |
| 168. C2×D4 | C22⋊D79 | semidirect |