Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14556134 | C2 | semidirect |
| 2. #17986566 | C2 | semidirect |
| 3. #17986249 | C2 | semidirect |
| 4. #17986232 | C2 | semidirect |
| 5. #17986037 | C2 | semidirect |
| 6. #17986004 | C2 | semidirect |
| 7. C22×D8×C71 | C2 | semidirect |
| 11. C2×#11765848 | C22 | semidirect |
| 12. C2×C8×D71 | C22 | semidirect |
| 15. #14556099 | C22 | semidirect |
| 18. #14556062 | C22 | semidirect |
| 19. #14556060 | C22 | semidirect |
| 20. #14556049 | C22 | semidirect |
| 49. C2×C8×C71 | D4 | semidirect |
| 94. C71 | #3058 | semidirect |
| 95. C22×D8 | D71 | semidirect |
| 139. C2×C8 | C22⋊D71 | semidirect |