Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
224 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 1. C2×#14273662 | C2 | semidirect |
| 5. #16837358 | C2 | semidirect |
| 6. #16837157 | C2 | semidirect |
| 7. C59×#339 | C2 | semidirect |
| 14. #14273650 | C4 | semidirect |
| 15. #14273650 | C4 | semidirect |
| 16. #14273647 | C4 | semidirect |
| 17. #14273647 | C4 | semidirect |
| 111. #339 | D59 | semidirect |
| 113. C59 | #1929 | semidirect |