Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 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×#14273753 | C2 | semidirect |
| 2. C2×#14273747 | C2 | semidirect |
| 3. #16837882 | C2 | semidirect |
| 4. #16837621 | C2 | semidirect |
| 5. #16837614 | C2 | semidirect |
| 6. #16837599 | C2 | semidirect |
| 7. #16837594 | C2 | semidirect |
| 8. #16837429 | C2 | semidirect |
| 9. #16837403 | C2 | semidirect |
| 10. C2×#14273648 | C2 | semidirect |
| 11. C59×#535 | C2 | semidirect |
| 15. C2×#11745672 | C22 | semidirect |
| 17. C2×#11745670 | C22 | semidirect |
| 18. C2×#11745671 | C22 | semidirect |
| 20. C2×#11745669 | C22 | semidirect |
| 23. C4×Dic118 | C22 | semidirect |
| 24. C4×D236 | C22 | semidirect |
| 29. C4⋊(C59⋊C8) | C22 | semidirect |
| 30. C4⋊(C59⋊C8) | C22 | semidirect |
| 31. #14273651 | C22 | semidirect |
| 34. #14273648 | C22 | semidirect |
| 60. #11745685 | D4 | semidirect |
| 157. #535 | D59 | semidirect |
| 166. C59 | #3045 | semidirect |