Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
362 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16838131 | C2 | semidirect |
| 2. #16837797 | C2 | semidirect |
| 4. #16837621 | C2 | semidirect |
| 5. #16837612 | C2 | semidirect |
| 6. #16837607 | C2 | semidirect |
| 8. #16837533 | C2 | semidirect |
| 9. #16837502 | C2 | semidirect |
| 10. C4×#11745672 | C2 | semidirect |
| 133. C59 | #3400 | semidirect |