Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
546 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 546 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#11929613 | C2 | semidirect |
| 2. D4×Dic158 | C2 | semidirect |
| 4. #19098936 | C2 | semidirect |
| 5. #19098792 | C2 | semidirect |
| 6. #19098769 | C2 | semidirect |
| 7. #19098764 | C2 | semidirect |
| 8. #19098716 | C2 | semidirect |
| 9. #19098704 | C2 | semidirect |
| 10. C4×#11929613 | C2 | semidirect |
| 11. C8×D4×C79 | C2 | semidirect |
| 12. C22×Dic158 | C22 | semidirect |
| 18. C2×#11929613 | C22 | semidirect |
| 19. C2×#11929613 | C22 | semidirect |
| 20. C2×#11929613 | C22 | semidirect |
| 21. #14579161 | C22 | semidirect |
| 24. #14579140 | C22 | semidirect |
| 29. C4×Dic158 | C22 | semidirect |
| 32. #14579093 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579086 | C22 | semidirect |
| 36. #14579083 | C22 | semidirect |
| 37. C22×C8×C79 | C22 | semidirect |
| 39. C4⋊C8×C79 | C22 | semidirect |
| 40. C22⋊C8×C79 | C22 | semidirect |
| 41. C4×C8×C79 | C22 | semidirect |
| 63. #11929613 | D4 | direct (N × H) |
| 89. D4×C79 | SD16 | semidirect |
| 114. Dic158 | C2×D4 | semidirect |
| 117. C8×C79 | C2×D4 | semidirect |
| 120. C22×C79 | C2×SD16 | semidirect |
| 131. C4×C79 | C2×SD16 | semidirect |
| 145. C79 | D4×SD16 | semidirect |
| 156. C8×D4 | D79 | semidirect |
| 166. C22×C8 | C2×D79 | semidirect |
| 180. C4⋊C8 | C2×D79 | semidirect |
| 185. C22⋊C8 | C2×D79 | semidirect |
| 186. C4×C8 | C2×D79 | semidirect |
| 247. D4 | #11929613 | direct (N × H) |
| 262. C8 | D4×D79 | semidirect |
| 272. C22 | C2×#11929613 | semidirect |
| 280. C4 | C2×#11929613 | semidirect |