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. C2×#14273686 | C2 | semidirect |
| 3. #16837727 | C2 | direct (N × H) |
| 4. C2×#14273661 | C2 | semidirect |
| 5. C2×#14273659 | C2 | semidirect |
| 6. C2×#14273649 | C2 | semidirect |
| 7. C2×#14273649 | C2 | semidirect |
| 8. C2×C22⋊C8×C59 | C2 | semidirect |
| 14. #14273686 | C22 | semidirect |
| 21. #14273661 | C22 | semidirect |
| 22. #14273659 | C22 | semidirect |
| 23. #14273649 | C22 | semidirect |
| 24. #14273649 | C22 | semidirect |
| 28. C22⋊C8×C59 | C22 | semidirect |
| 110. C2×C59 | #482 | semidirect |
| 122. C2×C22⋊C8 | D59 | semidirect |
| 123. C59 | C2×#482 | semidirect |
| 143. C22⋊C8 | C2×D59 | semidirect |
| 225. C2 | #16837727 | direct (N × H) |