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. #19099110 | C2 | semidirect |
| 2. #127×D79 | C2 | semidirect |
| 3. #19098938 | C2 | semidirect |
| 4. #19098908 | C2 | semidirect |
| 5. #19098759 | C2 | semidirect |
| 6. #19098758 | C2 | semidirect |
| 7. #19098755 | C2 | semidirect |
| 8. #19098698 | C2 | semidirect |
| 9. #19098695 | C2 | semidirect |
| 10. #19098615 | C2 | semidirect |
| 11. #459×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 |
| 29. C4×D316 | C22 | semidirect |
| 32. C4⋊(C79⋊C8) | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 34. #14579082 | C22 | semidirect |
| 35. #14579081 | C22 | semidirect |
| 37. C8×Dic79 | C22 | semidirect |
| 38. C2×D8×C79 | C22 | semidirect |
| 40. C4×D4×C79 | C22 | semidirect |
| 41. C4⋊C8×C79 | C22 | semidirect |
| 42. #102×C79 | C22 | semidirect |
| 127. C4×D79 | D8 | semidirect |
| 166. C79 | #3205 | semidirect |
| 174. #459 | D79 | semidirect |
| 185. C2×D8 | C2×D79 | semidirect |
| 199. C4×D4 | C2×D79 | semidirect |
| 202. C4⋊C8 | C2×D79 | semidirect |
| 206. #102 | C2×D79 | semidirect |