Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
354 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17986556 | C2 | semidirect |
| 3. #17986307 | C2 | semidirect |
| 4. #17986285 | C2 | semidirect |
| 5. #17986280 | C2 | semidirect |
| 6. #17986240 | C2 | semidirect |
| 8. #17986222 | C2 | semidirect |
| 9. #17986210 | C2 | semidirect |
| 10. #17986205 | C2 | semidirect |
| 11. C2×C4⋊C8×C71 | C2 | semidirect |
| 134. C71 | #3248 | semidirect |
| 145. C2×C4⋊C8 | D71 | semidirect |