Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
556 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099233 | C2 | semidirect |
| 3. D4×D316 | C2 | semidirect |
| 4. #19098939 | C2 | semidirect |
| 5. #19098815 | C2 | semidirect |
| 6. #19098764 | C2 | semidirect |
| 7. #19098709 | C2 | semidirect |
| 8. #19098695 | C2 | semidirect |
| 9. C4×#11929612 | C2 | semidirect |
| 10. #19098640 | C2 | semidirect |
| 11. #459×C79 | C2 | semidirect |
| 12. C2×#11929623 | C22 | semidirect |
| 16. C2×#11929613 | C22 | semidirect |
| 18. C2×#11929609 | C22 | semidirect |
| 19. C2×#11929609 | C22 | semidirect |
| 20. C2×#11929607 | C22 | semidirect |
| 26. #14579132 | C22 | semidirect |
| 28. C4×Dic158 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. #14579084 | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 35. (C2×D79)⋊C8 | C22 | semidirect |
| 36. C4×C79⋊C8 | C22 | semidirect |
| 38. #127×C79 | C22 | semidirect |
| 40. C4⋊C8×C79 | C22 | semidirect |
| 41. #102×C79 | C22 | semidirect |
| 60. #11929612 | D4 | semidirect |
| 117. Dic158 | C2×D4 | semidirect |
| 120. C79⋊C8 | C2×D4 | semidirect |
| 137. C4×C79 | AGL(1,ℤ/8) | semidirect |
| 151. C79 | #3274 | semidirect |
| 158. #459 | D79 | semidirect |
| 175. #127 | C2×D79 | semidirect |
| 186. C4⋊C8 | C2×D79 | semidirect |
| 190. #102 | C2×D79 | semidirect |
| 291. C4 | #14579185 | semidirect |