Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
596 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 157 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×D568 | C2 | semidirect |
| 2. C22×#11765848 | C2 | semidirect |
| 3. C2×#14556103 | C2 | semidirect |
| 4. #17986253 | C2 | direct (N × H) |
| 5. C2×#14556048 | C2 | semidirect |
| 6. C2×#106×C71 | C2 | semidirect |
| 11. C2×D568 | C22 | semidirect |
| 13. C2×#11765848 | C22 | semidirect |
| 16. #14556103 | C22 | semidirect |
| 18. #14556048 | C22 | semidirect |
| 21. #106×C71 | C22 | semidirect |
| 42. C2×C8×C71 | D4 | semidirect |
| 69. C8×C71 | C2×D4 | semidirect |
| 86. C2×C71 | #469 | semidirect |
| 92. C71 | C2×#469 | semidirect |
| 97. C2×#106 | D71 | semidirect |
| 112. #106 | C2×D71 | semidirect |
| 133. C2×C8 | D284 | semidirect |
| 162. C8 | C2×D284 | semidirect |
| 180. C2 | #17986253 | direct (N × H) |