Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 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 |
|---|---|---|
| 2. C2×#14273718 | C2 | semidirect |
| 3. #16837765 | C2 | direct (N × H) |
| 4. C2×#14273649 | C2 | semidirect |
| 5. C2×#14273648 | C2 | semidirect |
| 6. C2×#14273647 | C2 | semidirect |
| 7. C2×#14273637 | C2 | semidirect |
| 8. C2×#102×C59 | C2 | semidirect |
| 16. #14273718 | C22 | semidirect |
| 21. #14273649 | C22 | semidirect |
| 22. #14273648 | C22 | semidirect |
| 23. #14273647 | C22 | semidirect |
| 24. #14273637 | C22 | semidirect |
| 28. #102×C59 | C22 | semidirect |
| 112. C2×C59 | #490 | semidirect |
| 123. C2×#102 | D59 | semidirect |
| 125. C59 | C2×#490 | semidirect |
| 144. #102 | C2×D59 | semidirect |
| 229. C2 | #16837765 | direct (N × H) |