Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
752 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 752 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. C2×#14273757 | C2 | semidirect |
| 2. C22×#11745670 | C2 | semidirect |
| 3. #16837973 | C2 | semidirect |
| 4. #16837564 | C2 | semidirect |
| 5. #16837553 | C2 | semidirect |
| 6. #16837407 | C2 | semidirect |
| 7. #16837398 | C2 | semidirect |
| 8. #16837369 | C2 | semidirect |
| 10. C22×Dic118 | C22 | semidirect |
| 12. C2×#11745672 | C22 | semidirect |
| 14. C2×#11745670 | C22 | semidirect |
| 15. C2×#11745670 | C22 | semidirect |
| 16. C2×#11745664 | C22 | semidirect |
| 17. C22×C59⋊C8 | C22 | semidirect |
| 21. #14273706 | C22 | semidirect |
| 22. #14273686 | C22 | semidirect |
| 23. #14273651 | C22 | semidirect |
| 24. #14273648 | C22 | semidirect |
| 25. #14273648 | C22 | semidirect |
| 26. C22⋊(C59⋊C8) | C22 | semidirect |
| 156. C59 | #3009 | semidirect |