Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
368 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17986409 | C2 | semidirect |
| 3. #17986365 | C2 | semidirect |
| 4. #17986317 | C2 | semidirect |
| 5. #17986312 | C2 | semidirect |
| 6. #17986296 | C2 | semidirect |
| 7. #17986056 | C2 | semidirect |
| 8. C2×#125×C71 | C2 | semidirect |
| 107. C71 | #3234 | semidirect |
| 109. C2×#125 | D71 | semidirect |