Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
212 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 65 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. #17986051 | C2 | semidirect |
| 3. #17986050 | C2 | semidirect |
| 4. Q8⋊(C71⋊C8) | C2 | semidirect |
| 5. #17985728 | C2 | semidirect |
| 6. #17985726 | C2 | semidirect |
| 7. Q8⋊C8×C71 | C2 | semidirect |
| 105. C71 | #1482 | semidirect |
| 110. Q8⋊C8 | D71 | semidirect |