Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
546 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 546 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#14579185 | C2 | semidirect |
| 2. #19099217 | C2 | semidirect |
| 3. D4×D316 | C2 | semidirect |
| 4. #19098936 | C2 | semidirect |
| 5. #19098810 | C2 | semidirect |
| 6. #19098768 | C2 | semidirect |
| 7. #19098758 | C2 | semidirect |
| 8. #19098715 | C2 | semidirect |
| 9. #19098709 | C2 | semidirect |
| 10. #19098642 | C2 | semidirect |
| 11. C4×D8×C79 | C2 | semidirect |
| 12. C2×#11929623 | C22 | semidirect |
| 16. C2×#11929613 | C22 | semidirect |
| 17. C2×#11929613 | C22 | semidirect |
| 19. C2×#11929609 | C22 | semidirect |
| 20. C2×#11929607 | C22 | semidirect |
| 21. #14579161 | C22 | semidirect |
| 24. #14579141 | C22 | semidirect |
| 31. C4⋊(C79⋊C8) | C22 | semidirect |
| 32. #14579084 | C22 | semidirect |
| 33. #14579081 | C22 | semidirect |
| 34. (C2×D79)⋊C8 | C22 | semidirect |
| 37. C4×D4×C79 | C22 | semidirect |
| 38. #107×C79 | C22 | semidirect |
| 40. #102×C79 | C22 | semidirect |
| 41. C4×C8×C79 | C22 | semidirect |
| 75. D8×C79 | D4 | semidirect |
| 93. D4×C79 | C2×D4 | semidirect |
| 117. C8×C79 | C2×D4 | semidirect |
| 136. C4×C79 | AGL(1,ℤ/8) | semidirect |
| 149. C79 | #3272 | semidirect |
| 159. C4×D8 | D79 | semidirect |
| 181. C4×D4 | C2×D79 | semidirect |
| 183. #107 | C2×D79 | semidirect |
| 188. #102 | C2×D79 | semidirect |
| 190. C4×C8 | C2×D79 | semidirect |
| 215. D8 | D316 | semidirect |
| 252. D4 | C2×D316 | semidirect |
| 267. C8 | C2×D316 | semidirect |
| 287. C4 | #14579185 | semidirect |