Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
436 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 436 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. #16837947 | C2 | semidirect |
| 2. #16837681 | C2 | semidirect |
| 3. #16837680 | C2 | semidirect |
| 4. #16837638 | C2 | semidirect |
| 5. #16837636 | C2 | semidirect |
| 6. #16837596 | C2 | semidirect |
| 7. #16837595 | C2 | semidirect |
| 8. C2×Dic59⋊C8 | C2 | semidirect |
| 9. C59×#466 | C2 | semidirect |
| 82. C2×Dic59 | D8 | semidirect |
| 121. #466 | D59 | semidirect |
| 125. C59 | #3245 | semidirect |