Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
402 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
| 2. #17986402 | C2 | semidirect |
| 3. #17986371 | C2 | semidirect |
| 4. #17986351 | C2 | semidirect |
| 5. #17986345 | C2 | semidirect |
| 6. #17986243 | C2 | semidirect |
| 7. #17986099 | C2 | semidirect |
| 8. C4×#11765849 | C2 | semidirect |
| 90. C71⋊C8 | #41 | semidirect |
| 113. C71 | #3182 | semidirect |