Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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. #17986477 | C2 | semidirect |
| 4. #17986223 | C2 | semidirect |
| 5. #17986207 | C2 | semidirect |
| 6. #17986025 | C2 | semidirect |
| 7. #17986008 | C2 | semidirect |
| 9. C22×Q16×C71 | C2 | semidirect |
| 112. C71 | #3044 | semidirect |
| 114. C22×Q16 | D71 | semidirect |