Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
340 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 3. #17986407 | C2 | semidirect |
| 4. #17986406 | C2 | semidirect |
| 5. #17986400 | C2 | semidirect |
| 6. #17986396 | C2 | semidirect |
| 44. C2×C71⋊C8 | Q8 | semidirect |
| 65. M16×C71 | Q8 | semidirect |
| 113. C71 | #3163 | semidirect |
| 159. M16 | Dic142 | semidirect |