Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
596 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 157 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×#11765848 | C2 | semidirect |
| 2. C2×#14556099 | C2 | semidirect |
| 3. #17986249 | C2 | direct (N × H) |
| 4. C2×#14556060 | C2 | semidirect |
| 5. C2×#14556049 | C2 | semidirect |
| 6. C22×D8×C71 | C2 | semidirect |
| 10. C2×#11765848 | C22 | semidirect |
| 13. #14556099 | C22 | semidirect |
| 16. #14556060 | C22 | semidirect |
| 17. #14556049 | C22 | semidirect |
| 20. C2×D8×C71 | C22 | semidirect |
| 44. C2×C8×C71 | D4 | semidirect |
| 69. C8×C71 | C2×D4 | semidirect |
| 87. C2×C71 | #469 | semidirect |
| 92. C71 | C2×#469 | semidirect |
| 93. C22×D8 | D71 | semidirect |
| 103. C2×D8 | C2×D71 | semidirect |
| 133. C2×C8 | C22⋊D71 | semidirect |
| 162. C8 | C2×C22⋊D71 | semidirect |
| 180. C2 | #17986249 | direct (N × H) |