Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 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 |
|---|---|---|
| 1. C2×#14556150 | C2 | semidirect |
| 2. C2×#14556148 | C2 | semidirect |
| 3. #17986545 | C2 | semidirect |
| 4. #17986392 | C2 | semidirect |
| 5. #17986390 | C2 | semidirect |
| 6. #17986387 | C2 | semidirect |
| 7. #17986385 | C2 | semidirect |
| 8. C2×#14556038 | C2 | semidirect |
| 9. C2×#135×C71 | C2 | semidirect |
| 51. C2×C71⋊C8 | D4 | semidirect |
| 68. C2×C8×C71 | D4 | semidirect |
| 117. C71 | #3150 | semidirect |
| 120. C2×#135 | D71 | semidirect |
| 180. C2×C8 | C22⋊D71 | semidirect |