Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
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×#11765854 | C2 | semidirect |
| 2. D4×Dic142 | C2 | semidirect |
| 4. #17986372 | C2 | semidirect |
| 5. #17986228 | C2 | semidirect |
| 6. #17986205 | C2 | semidirect |
| 7. #17986200 | C2 | semidirect |
| 8. #17986152 | C2 | semidirect |
| 9. #17986140 | C2 | semidirect |
| 10. C4×#11765854 | C2 | semidirect |
| 11. C8×D4×C71 | C2 | semidirect |
| 12. C22×Dic142 | C22 | semidirect |
| 18. C2×#11765854 | C22 | semidirect |
| 19. C2×#11765854 | C22 | semidirect |
| 20. C2×#11765854 | C22 | semidirect |
| 21. #14556128 | C22 | semidirect |
| 24. #14556107 | C22 | semidirect |
| 29. C4×Dic142 | C22 | semidirect |
| 32. #14556060 | C22 | semidirect |
| 33. #14556053 | C22 | semidirect |
| 34. #14556053 | C22 | semidirect |
| 36. #14556050 | C22 | semidirect |
| 37. C22×C8×C71 | C22 | semidirect |
| 39. C4⋊C8×C71 | C22 | semidirect |
| 40. C22⋊C8×C71 | C22 | semidirect |
| 41. C4×C8×C71 | C22 | semidirect |
| 63. #11765854 | D4 | direct (N × H) |
| 89. D4×C71 | SD16 | semidirect |
| 114. Dic142 | C2×D4 | semidirect |
| 117. C8×C71 | C2×D4 | semidirect |
| 120. C22×C71 | C2×SD16 | semidirect |
| 131. C4×C71 | C2×SD16 | semidirect |
| 145. C71 | D4×SD16 | semidirect |
| 156. C8×D4 | D71 | semidirect |
| 166. C22×C8 | C2×D71 | semidirect |
| 180. C4⋊C8 | C2×D71 | semidirect |
| 185. C22⋊C8 | C2×D71 | semidirect |
| 186. C4×C8 | C2×D71 | semidirect |
| 247. D4 | #11765854 | direct (N × H) |
| 262. C8 | D4×D71 | semidirect |
| 272. C22 | C2×#11765854 | semidirect |
| 280. C4 | C2×#11765854 | semidirect |