Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
292 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #16837357 | C2 | semidirect |
| 4. C2×#14273637 | C2 | semidirect |
| 5. #16837166 | C2 | semidirect |
| 6. #16837163 | C2 | semidirect |
| 12. #14273654 | C4 | semidirect |
| 13. #14273651 | C4 | semidirect |
| 14. #14273648 | C4 | semidirect |
| 20. #131×C59 | C4 | semidirect |
| 106. C59 | #1765 | semidirect |
| 109. #131 | Dic59 | semidirect |