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. C2×#14273637 | C2 | semidirect |
| 5. #16837166 | C2 | semidirect |
| 6. #16837161 | C2 | semidirect |
| 7. C59×#405 | C2 | semidirect |
| 10. #14273733 | C4 | semidirect |
| 16. #14273653 | C4 | semidirect |
| 17. #14273650 | C4 | semidirect |
| 18. #14273647 | C4 | semidirect |
| 102. #405 | D59 | semidirect |
| 106. C59 | #1765 | semidirect |