Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
764 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 764 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. C2×#14556173 | C2 | semidirect |
| 2. C2×#14556154 | C2 | semidirect |
| 3. C2×#14556150 | C2 | semidirect |
| 4. #17986580 | C2 | semidirect |
| 5. #17986162 | C2 | semidirect |
| 6. #17986151 | C2 | semidirect |
| 7. #17986145 | C2 | semidirect |
| 8. #17986134 | C2 | semidirect |
| 9. #17985998 | C2 | semidirect |
| 10. #17985965 | C2 | semidirect |
| 11. C2×#102×C71 | C2 | semidirect |
| 16. C2×#11765865 | C22 | semidirect |
| 24. C2×Dic284 | C22 | semidirect |
| 25. C2×#11765854 | C22 | semidirect |
| 26. C2×#11765854 | C22 | semidirect |
| 27. C2×#11765853 | C22 | semidirect |
| 28. C2×D568 | C22 | semidirect |
| 29. C2×#11765850 | C22 | semidirect |
| 30. C2×#11765849 | C22 | semidirect |
| 32. #14556108 | C22 | semidirect |
| 34. #14556103 | C22 | semidirect |
| 36. #14556051 | C22 | semidirect |
| 37. #14556048 | C22 | semidirect |
| 38. (C2×D71)⋊C8 | C22 | semidirect |
| 39. (C2×D71)⋊C8 | C22 | semidirect |
| 41. C22×C8×C71 | C22 | semidirect |
| 42. C2×C4⋊C4×C71 | C22 | semidirect |
| 43. #102×C71 | C22 | semidirect |
| 44. #102×C71 | C22 | semidirect |
| 51. #11765865 | D4 | semidirect |
| 89. C2×D4×C71 | D4 | semidirect |
| 179. C71 | #3012 | semidirect |
| 189. C2×#102 | D71 | semidirect |
| 211. C22×C8 | C2×D71 | semidirect |
| 217. C2×C4⋊C4 | C2×D71 | semidirect |
| 220. #102 | C2×D71 | semidirect |
| 221. #102 | C2×D71 | semidirect |
| 253. C2×D4 | D284 | semidirect |