Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
270 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#14273663 | C2 | semidirect |
| 3. #16837428 | C2 | semidirect |
| 6. #16837162 | C2 | semidirect |
| 7. C59×#336 | C2 | semidirect |
| 20. #14273652 | C4 | semidirect |
| 21. #14273652 | C4 | semidirect |
| 22. #14273649 | C4 | semidirect |
| 23. #14273649 | C4 | semidirect |
| 116. #336 | D59 | semidirect |
| 117. C59 | #1866 | semidirect |