Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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×#11765854 | C2 | semidirect |
| 2. C2×#14556134 | C2 | semidirect |
| 3. #17986575 | C2 | semidirect |
| 5. #17986246 | C2 | semidirect |
| 6. #17986229 | C2 | semidirect |
| 7. #17986007 | C2 | semidirect |
| 8. #17986003 | C2 | semidirect |
| 9. #427×C71 | C2 | semidirect |
| 18. C2×#11765848 | C22 | semidirect |
| 19. C2×C8×D71 | C22 | semidirect |
| 25. #14556108 | C22 | semidirect |
| 28. #14556051 | C22 | semidirect |
| 33. #107×C71 | C22 | semidirect |
| 34. #106×C71 | C22 | semidirect |
| 62. C2×C8×C71 | D4 | semidirect |
| 121. C71 | #3057 | semidirect |
| 128. #427 | D71 | semidirect |
| 152. #107 | C2×D71 | semidirect |
| 153. #106 | C2×D71 | semidirect |
| 180. C2×C8 | D284 | semidirect |