Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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×#14273757 | C2 | semidirect |
| 2. C2×#14273714 | C2 | semidirect |
| 3. #41×Dic59 | C2 | semidirect |
| 4. #16837622 | C2 | semidirect |
| 5. #16837615 | C2 | semidirect |
| 6. #16837425 | C2 | semidirect |
| 7. #16837412 | C2 | semidirect |
| 8. #16837407 | C2 | semidirect |
| 12. C2×#11745672 | C22 | semidirect |
| 13. C2×#11745670 | C22 | semidirect |
| 18. Q8×Dic59 | C22 | semidirect |
| 20. D4×Dic59 | C22 | semidirect |
| 26. Dic59⋊C8 | C22 | semidirect |
| 27. #14273652 | C22 | semidirect |
| 135. C59 | #3040 | semidirect |