Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
484 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 127 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×#14273746 | C2 | semidirect |
| 2. C2×#14273733 | C2 | semidirect |
| 3. #16837981 | C2 | semidirect |
| 4. #16837647 | C2 | semidirect |
| 5. #16837646 | C2 | semidirect |
| 6. #16837644 | C2 | semidirect |
| 7. #16837643 | C2 | semidirect |
| 8. #16837635 | C2 | semidirect |
| 9. #107×D59 | C2 | semidirect |
| 10. #16837400 | C2 | semidirect |
| 11. C59×#466 | C2 | semidirect |
| 80. C8×D59 | D4 | semidirect |
| 152. #466 | D59 | semidirect |
| 155. C59 | #3061 | semidirect |