Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
292 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 4. #16837357 | C2 | semidirect |
| 5. #16837167 | C2 | semidirect |
| 6. #16837162 | C2 | semidirect |
| 7. C2×#97×C59 | C2 | semidirect |
| 10. #14273733 | C4 | semidirect |
| 16. #14273655 | C4 | semidirect |
| 17. #14273652 | C4 | semidirect |
| 18. #14273649 | C4 | semidirect |
| 103. C2×#97 | D59 | semidirect |
| 106. C59 | #1765 | semidirect |