Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #16837981 | C2 | semidirect |
| 2. #16837739 | C2 | semidirect |
| 3. #16837714 | C2 | semidirect |
| 4. #16837646 | C2 | semidirect |
| 5. #16837643 | C2 | semidirect |
| 6. #16837565 | C2 | semidirect |
| 7. #16837544 | C2 | semidirect |
| 8. #16837368 | C2 | semidirect |
| 9. C59×#466 | C2 | semidirect |
| 125. #466 | D59 | semidirect |
| 129. C59 | #3203 | semidirect |