Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
756 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 756 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. #16838169 | C2 | semidirect |
| 3. #16837384 | C2 | semidirect |
| 4. C2×#14273643 | C2 | semidirect |
| 5. C59×#568 | C2 | semidirect |
| 13. C2×#11745664 | C22 | semidirect |
| 14. #14273645 | C22 | semidirect |
| 15. #14273643 | C22 | semidirect |
| 18. C2×M16×C59 | C22 | semidirect |
| 79. #568 | D59 | semidirect |
| 82. C59 | #2888 | semidirect |
| 93. C2×M16 | C2×D59 | semidirect |