Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 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. C22×#11745670 | C2 | semidirect |
| 3. #16837879 | C2 | semidirect |
| 4. #16837621 | C2 | semidirect |
| 5. #16837599 | C2 | semidirect |
| 6. #16837429 | C2 | semidirect |
| 7. #16837407 | C2 | semidirect |
| 8. #16837398 | C2 | semidirect |
| 12. C2×#11745672 | C22 | semidirect |
| 15. C2×#11745670 | C22 | semidirect |
| 18. C4×Dic118 | C22 | semidirect |
| 22. C4⋊(C59⋊C8) | C22 | semidirect |
| 23. #14273651 | C22 | semidirect |
| 25. #14273648 | C22 | semidirect |
| 49. C2×Dic118 | D4 | semidirect |
| 126. C59 | #3043 | semidirect |