Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
468 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 149 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. #16837726 | C2 | direct (N × H) |
| 3. C2×#14273660 | C2 | semidirect |
| 4. C2×#14273658 | C2 | semidirect |
| 5. C2×#14273647 | C2 | semidirect |
| 6. C2×#14273647 | C2 | semidirect |
| 7. C2×C22⋊(C59⋊C8) | C2 | semidirect |
| 8. C2×#117×C59 | C2 | semidirect |
| 17. #14273660 | C22 | semidirect |
| 18. #14273658 | C22 | semidirect |
| 19. #14273647 | C22 | semidirect |
| 20. #14273647 | C22 | semidirect |
| 21. C22⋊(C59⋊C8) | C22 | semidirect |
| 24. #117×C59 | C22 | semidirect |
| 110. C2×C59 | #482 | semidirect |
| 116. C2×#117 | D59 | semidirect |
| 123. C59 | C2×#482 | semidirect |
| 132. #117 | C2×D59 | semidirect |
| 225. C2 | #16837726 | direct (N × H) |