Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 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 |
| 3. #16837781 | C2 | semidirect |
| 5. #16837612 | C2 | semidirect |
| 6. #16837609 | C2 | semidirect |
| 8. #16837533 | C2 | semidirect |
| 9. #16837507 | C2 | semidirect |
| 131. C59 | #3398 | semidirect |