Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14273747 | C2 | semidirect |
| 2. C2×#14273734 | C2 | semidirect |
| 3. #16837980 | C2 | semidirect |
| 4. #16837650 | C2 | semidirect |
| 5. #16837646 | C2 | semidirect |
| 6. #16837641 | C2 | semidirect |
| 7. #16837636 | C2 | semidirect |
| 8. C2×#14273660 | C2 | semidirect |
| 9. #16837403 | C2 | semidirect |
| 10. #16837401 | C2 | semidirect |
| 11. C59×#537 | C2 | semidirect |
| 83. C2×C59⋊C8 | D4 | semidirect |
| 156. #537 | D59 | semidirect |
| 164. C59 | #3061 | semidirect |