Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
284 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 109 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. #17985954 | C2 | semidirect |
| 5. #17985771 | C2 | semidirect |
| 6. #17985769 | C2 | semidirect |
| 7. #405×C71 | C2 | semidirect |
| 15. C2×#11765848 | C4 | semidirect |
| 16. C2×C8×D71 | C4 | semidirect |
| 18. #14556046 | C4 | semidirect |
| 19. #14556044 | C4 | semidirect |
| 107. C71 | #1757 | semidirect |
| 112. #405 | D71 | semidirect |