Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
372 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 123 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. Q8×D284 | C2 | semidirect |
| 2. #17986358 | C2 | semidirect |
| 3. #17986349 | C2 | semidirect |
| 4. #17986294 | C2 | semidirect |
| 5. #17986279 | C2 | semidirect |
| 7. #17986201 | C2 | semidirect |
| 8. #17986130 | C2 | semidirect |
| 9. #17986097 | C2 | semidirect |
| 11. #556×C71 | C2 | semidirect |
| 123. C71 | #3367 | semidirect |
| 124. #556 | D71 | semidirect |