Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
448 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 145 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. #16837959 | C2 | semidirect |
| 2. #16837732 | C2 | semidirect |
| 3. #16837692 | C2 | semidirect |
| 4. #16837607 | C2 | semidirect |
| 6. C4×#11745670 | C2 | semidirect |
| 7. #16837455 | C2 | semidirect |
| 10. #14273727 | C22 | semidirect |
| 11. #14273727 | C22 | semidirect |
| 16. C4×Dic118 | C22 | semidirect |
| 18. #14273658 | C22 | semidirect |
| 19. C4⋊(C59⋊C8) | C22 | semidirect |
| 20. #14273650 | C22 | semidirect |
| 23. C4×C59⋊C8 | C22 | semidirect |
| 78. C2×C4×C59 | SD16 | semidirect |
| 121. C59 | #3101 | semidirect |
| 195. C2×C4 | #11745670 | semidirect |