Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
248 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 2. #17986056 | C2 | semidirect |
| 3. #17985738 | C2 | semidirect |
| 4. #432×C71 | C2 | semidirect |
| 15. #14556039 | C22 | semidirect |
| 19. #97×C71 | C22 | semidirect |
| 84. C71 | #1533 | semidirect |
| 87. #432 | D71 | semidirect |
| 103. #97 | C2×D71 | semidirect |