Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
234 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 61 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. #17985951 | C2 | semidirect |
| 3. #97×D71 | C2 | semidirect |
| 4. #17985740 | C2 | semidirect |
| 5. #17985740 | C2 | semidirect |
| 6. #17985739 | C2 | semidirect |
| 7. #329×C71 | C2 | semidirect |
| 100. C71 | #1524 | semidirect |
| 107. #329 | D71 | semidirect |