Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
410 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16837973 | C2 | semidirect |
| 2. #16837743 | C2 | semidirect |
| 3. #16837723 | C2 | semidirect |
| 4. #16837646 | C2 | semidirect |
| 5. #16837629 | C2 | semidirect |
| 6. #16837553 | C2 | semidirect |
| 7. #16837540 | C2 | semidirect |
| 8. #16837369 | C2 | semidirect |
| 10. C22×Dic118 | C22 | semidirect |
| 13. C2×#11745664 | C22 | semidirect |
| 14. C22×C59⋊C8 | C22 | semidirect |
| 20. #14273706 | C22 | semidirect |
| 21. #14273686 | C22 | semidirect |
| 22. #14273660 | C22 | semidirect |
| 23. #14273658 | C22 | semidirect |
| 24. #14273650 | C22 | semidirect |
| 25. #14273650 | C22 | semidirect |
| 29. C22⋊(C59⋊C8) | C22 | semidirect |
| 147. C59 | #3200 | semidirect |