Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
246 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 73 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. #17986023 | C2 | semidirect |
| 3. #17985746 | C2 | semidirect |
| 4. #17985742 | C2 | semidirect |
| 5. #432×C71 | C2 | semidirect |
| 85. C71 | #1557 | semidirect |
| 87. #432 | D71 | semidirect |