Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 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. C22×#11745670 | C2 | semidirect |
| 2. #16837973 | C2 | semidirect |
| 3. #16837877 | C2 | semidirect |
| 4. #16837615 | C2 | semidirect |
| 5. #16837605 | C2 | semidirect |
| 6. #16837430 | C2 | semidirect |
| 7. #16837412 | C2 | semidirect |
| 8. #16837398 | C2 | semidirect |
| 14. #14273725 | C22 | semidirect |
| 15. #14273714 | C22 | semidirect |
| 23. Dic59⋊C8 | C22 | semidirect |
| 24. #14273652 | C22 | semidirect |
| 25. #14273651 | C22 | semidirect |
| 26. #14273648 | C22 | semidirect |
| 126. C59 | #3042 | semidirect |