Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
544 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 165 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×#14556107 | C2 | semidirect |
| 4. #17986245 | C2 | direct (N × H) |
| 5. C2×#14556062 | C2 | semidirect |
| 6. C2×#14556053 | C2 | semidirect |
| 7. C2×#14556050 | C2 | semidirect |
| 8. C22×M16×C71 | C2 | semidirect |
| 13. C2×#11765854 | C22 | semidirect |
| 15. #14556107 | C22 | semidirect |
| 23. #14556062 | C22 | semidirect |
| 24. #14556053 | C22 | semidirect |
| 25. #14556050 | C22 | semidirect |
| 28. C2×M16×C71 | C22 | semidirect |
| 62. C2×C8×C71 | D4 | semidirect |
| 97. C8×C71 | C2×D4 | semidirect |
| 118. C2×C71 | #468 | semidirect |
| 124. C71 | C2×#468 | semidirect |
| 126. C22×M16 | D71 | semidirect |
| 140. C2×M16 | C2×D71 | semidirect |
| 179. C2×C8 | C22⋊D71 | semidirect |
| 221. C8 | C2×C22⋊D71 | semidirect |
| 243. C2 | #17986245 | direct (N × H) |