Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
412 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 99 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×#11765848 | C2 | semidirect |
| 3. C2×#14556049 | C2 | semidirect |
| 4. #17985856 | C2 | semidirect |
| 5. #17985762 | C2 | semidirect |
| 6. #17985761 | C2 | semidirect |
| 7. C2×#102×C71 | C2 | semidirect |
| 15. #14556099 | C4 | semidirect |
| 42. C2×C71⋊C8 | D4 | semidirect |
| 60. C2×C8×C71 | D4 | semidirect |
| 146. C71 | #1895 | semidirect |
| 150. C2×#102 | D71 | semidirect |
| 200. C2×C8 | C22⋊D71 | semidirect |