Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
266 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 266 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. #17986023 | C2 | semidirect |
| 3. C2×#14556056 | C2 | semidirect |
| 4. #17985983 | C2 | semidirect |
| 5. #17985981 | C2 | semidirect |
| 6. C71⋊#338 | C2 | semidirect |
| 7. C2×#104×C71 | C2 | semidirect |
| 123. C71 | #2050 | semidirect |
| 127. C2×#104 | D71 | semidirect |