Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
494 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 139 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. #17986653 | C2 | semidirect |
| 2. D4×D284 | C2 | semidirect |
| 3. #17986346 | C2 | semidirect |
| 4. #17986313 | C2 | semidirect |
| 5. #17986280 | C2 | semidirect |
| 6. #17986235 | C2 | semidirect |
| 7. #17986195 | C2 | semidirect |
| 8. #17986135 | C2 | semidirect |
| 9. C4×D568 | C2 | semidirect |
| 10. C2×#14556050 | C2 | semidirect |
| 11. C8×D4×C71 | C2 | semidirect |
| 16. C2×D568 | C22 | semidirect |
| 17. #14556128 | C22 | semidirect |
| 23. #14556102 | C22 | semidirect |
| 26. C4×D284 | C22 | semidirect |
| 27. C2×C4⋊Dic71 | C22 | semidirect |
| 28. #14556062 | C22 | semidirect |
| 29. #14556062 | C22 | semidirect |
| 32. #14556050 | C22 | semidirect |
| 33. #14556050 | C22 | semidirect |
| 34. #14556050 | C22 | semidirect |
| 35. #14556050 | C22 | semidirect |
| 36. C22×C8×C71 | C22 | semidirect |
| 38. C4⋊C8×C71 | C22 | semidirect |
| 39. C22⋊C8×C71 | C22 | semidirect |
| 40. C4×C8×C71 | C22 | semidirect |
| 85. D4×C71 | D8 | semidirect |
| 106. D284 | #41 | semidirect |
| 143. C71 | #3294 | semidirect |
| 153. C8×D4 | D71 | semidirect |
| 160. C22×C8 | C2×D71 | semidirect |
| 175. C4⋊C8 | C2×D71 | semidirect |
| 182. C22⋊C8 | C2×D71 | semidirect |
| 183. C4×C8 | C2×D71 | semidirect |
| 240. D4 | D568 | semidirect |