Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 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. #16837959 | C2 | semidirect |
| 2. #16837774 | C2 | semidirect |
| 3. #16837748 | C2 | semidirect |
| 4. #16837599 | C2 | semidirect |
| 5. #16837553 | C2 | semidirect |
| 6. #16837455 | C2 | semidirect |
| 8. C2×#11745670 | C22 | semidirect |
| 9. #14273727 | C22 | semidirect |
| 10. #14273727 | C22 | semidirect |
| 15. C4×Dic118 | C22 | semidirect |
| 17. C4⋊(C59⋊C8) | C22 | semidirect |
| 18. #14273648 | C22 | semidirect |
| 20. C4×C59⋊C8 | C22 | semidirect |
| 71. C2×C4×C59 | SD16 | semidirect |
| 112. C59 | #3208 | semidirect |
| 180. C2×C4 | #11745670 | semidirect |