Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
536 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 4. #17986038 | C2 | direct (N × H) |
| 5. C2×#14556062 | C2 | semidirect |
| 6. C2×#14556061 | C2 | semidirect |
| 7. C2×#14556059 | C2 | semidirect |
| 8. C2×#106×C71 | C2 | semidirect |
| 11. C2×#11765848 | C4 | semidirect |
| 23. #14556062 | C22 | semidirect |
| 24. #14556061 | C22 | semidirect |
| 25. #14556059 | C22 | semidirect |
| 29. #106×C71 | C22 | semidirect |
| 40. #11765848 | C2×C4 | semidirect |
| 41. C2×C71⋊C8 | C2×C4 | semidirect |
| 53. C2×C8×C71 | C2×C4 | semidirect |
| 82. C8×C71 | C22×C4 | semidirect |
| 83. C71⋊C8 | C22×C4 | semidirect |
| 100. C2×C71 | #428 | semidirect |
| 106. C71 | C2×#428 | semidirect |
| 114. C2×#106 | D71 | semidirect |
| 135. #106 | C2×D71 | semidirect |
| 152. C2×C8 | C4×D71 | semidirect |
| 189. C8 | C2×C4×D71 | semidirect |
| 207. C2 | #17986038 | direct (N × H) |