Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
738 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 249 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 |
|---|---|---|
| 2. #41×Dic59 | C2 | semidirect |
| 3. #16837418 | C2 | semidirect |
| 4. C2×#14273653 | C2 | semidirect |
| 5. C59×#568 | C2 | semidirect |
| 7. #14273774 | C4 | semidirect |
| 8. #14273773 | C4 | semidirect |
| 14. #14273686 | C22 | semidirect |
| 15. C2×C4×Dic59 | C22 | semidirect |
| 16. #14273653 | C22 | semidirect |
| 17. #14273653 | C22 | semidirect |
| 20. C2×M16×C59 | C22 | semidirect |
| 34. #11745685 | C2×C4 | semidirect |
| 36. C2×D236 | C2×C4 | semidirect |
| 38. C2×Dic118 | C2×C4 | semidirect |
| 85. #568 | D59 | semidirect |
| 89. C59 | #2901 | semidirect |
| 98. C2×M16 | C2×D59 | semidirect |