Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
488 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19099115 | C2 | semidirect |
| 3. #19098934 | C2 | semidirect |
| 4. #19098908 | C2 | semidirect |
| 5. #19098762 | C2 | semidirect |
| 6. #19098761 | C2 | semidirect |
| 7. #19098716 | C2 | semidirect |
| 8. #19098714 | C2 | semidirect |
| 9. #19098713 | C2 | semidirect |
| 10. #19098613 | C2 | semidirect |
| 11. #450×C79 | C2 | semidirect |
| 15. C2×#11929613 | C22 | semidirect |
| 16. C2×#11929612 | C22 | semidirect |
| 17. C2×#11929611 | C22 | semidirect |
| 18. #14579160 | C22 | semidirect |
| 19. #14579159 | C22 | semidirect |
| 27. Q8×Dic79 | C22 | semidirect |
| 29. #14579126 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 34. #14579082 | C22 | semidirect |
| 35. #14579081 | C22 | semidirect |
| 37. C8×Dic79 | C22 | semidirect |
| 39. C2×SD16×C79 | C22 | semidirect |
| 41. #102×C79 | C22 | semidirect |
| 111. C2×Dic79 | SD16 | semidirect |
| 152. C79 | #3208 | semidirect |
| 162. #450 | D79 | semidirect |
| 171. C2×SD16 | C2×D79 | semidirect |
| 191. #102 | C2×D79 | semidirect |