Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16837936 | C2 | semidirect |
| 2. #16837710 | C2 | semidirect |
| 3. #16837703 | C2 | semidirect |
| 4. #16837643 | C2 | semidirect |
| 6. #16837631 | C2 | semidirect |
| 7. #16837625 | C2 | semidirect |
| 8. #16837618 | C2 | semidirect |
| 9. C2×C4⋊C8×C59 | C2 | semidirect |
| 115. C2×C4⋊C8 | D59 | semidirect |
| 116. C59 | #3250 | semidirect |