Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
206 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 47 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. #17986439 | C2 | semidirect |
| 3. C2×Dic568 | C2 | semidirect |
| 4. #17986275 | C2 | semidirect |
| 5. #17985814 | C2 | semidirect |
| 6. #17985782 | C2 | semidirect |
| 7. #359×C71 | C2 | semidirect |
| 89. C71 | #2195 | semidirect |
| 95. #359 | D71 | semidirect |