Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 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. C2×#14273753 | C2 | semidirect |
| 2. #16837969 | C2 | semidirect |
| 3. #16837877 | C2 | semidirect |
| 4. #16837615 | C2 | semidirect |
| 5. #16837595 | C2 | semidirect |
| 6. #16837428 | C2 | semidirect |
| 7. #16837407 | C2 | semidirect |
| 8. #16837399 | C2 | semidirect |
| 9. C22×D8×C59 | C2 | semidirect |
| 12. C2×#11745670 | C22 | semidirect |
| 13. C2×#11745669 | C22 | semidirect |
| 15. #14273723 | C22 | semidirect |
| 16. #14273714 | C22 | semidirect |
| 20. D4×Dic59 | C22 | semidirect |
| 24. Dic59⋊C8 | C22 | semidirect |
| 25. #14273652 | C22 | semidirect |
| 26. #14273649 | C22 | semidirect |
| 27. #14273648 | C22 | semidirect |
| 40. C2×D4×C59 | D4 | semidirect |
| 123. C22×D8 | D59 | semidirect |
| 131. C59 | #3041 | semidirect |
| 168. C2×D4 | C22⋊D59 | semidirect |