Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 1. C22×Dic284 | C2 | semidirect |
| 2. C2×Q16×D71 | C2 | semidirect |
| 4. #17986377 | C2 | semidirect |
| 5. #17986241 | C2 | semidirect |
| 6. #17986208 | C2 | semidirect |
| 7. #17986156 | C2 | semidirect |
| 8. #17986154 | C2 | semidirect |
| 9. #17986093 | C2 | semidirect |
| 11. #467×C71 | C2 | semidirect |
| 55. Dic284 | D4 | semidirect |
| 90. C22⋊D71 | Q16 | semidirect |
| 112. C22×C71 | C2×Q16 | semidirect |
| 116. C2×D71 | C2×Q16 | semidirect |
| 126. Dic71 | C2×Q16 | semidirect |
| 133. C71 | D4×Q16 | semidirect |
| 139. #467 | D71 | semidirect |
| 248. C22 | Q16×D71 | semidirect |