Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
532 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 532 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. #19099108 | C2 | semidirect |
| 2. C2×#14579157 | C2 | semidirect |
| 3. #19098938 | C2 | semidirect |
| 4. #19098908 | C2 | semidirect |
| 5. #19098757 | C2 | semidirect |
| 6. #19098756 | C2 | semidirect |
| 7. #19098699 | C2 | semidirect |
| 8. #19098697 | C2 | semidirect |
| 9. #19098696 | C2 | semidirect |
| 10. #19098613 | C2 | semidirect |
| 11. #447×C79 | C2 | semidirect |
| 16. C2×D632 | C22 | semidirect |
| 17. C2×#11929609 | C22 | semidirect |
| 18. C2×#11929609 | C22 | semidirect |
| 19. #14579160 | C22 | semidirect |
| 24. #14579157 | C22 | semidirect |
| 28. D4×Dic79 | C22 | semidirect |
| 29. #14579123 | 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×D8×C79 | C22 | semidirect |
| 41. #102×C79 | C22 | semidirect |
| 117. C2×Dic79 | D8 | semidirect |
| 165. C79 | #3205 | semidirect |
| 175. #447 | D79 | semidirect |
| 185. C2×D8 | C2×D79 | semidirect |
| 204. #102 | C2×D79 | semidirect |