Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14273752 | C2 | semidirect |
| 2. C22×D472 | C2 | semidirect |
| 3. #16837966 | C2 | semidirect |
| 4. #16837788 | C2 | semidirect |
| 5. #16837787 | C2 | semidirect |
| 6. #16837777 | C2 | semidirect |
| 7. #16837357 | C2 | semidirect |
| 8. C2×#135×C59 | C2 | semidirect |
| 11. C2×#11745671 | C22 | semidirect |
| 15. C2×#11745669 | C22 | semidirect |
| 17. #14273723 | C22 | semidirect |
| 18. #14273716 | C22 | semidirect |
| 22. #14273637 | C22 | semidirect |
| 23. C8×Dic59 | C22 | semidirect |
| 26. C2×Q16×C59 | C22 | semidirect |
| 27. C2×SD16×C59 | C22 | semidirect |
| 28. C2×D8×C59 | C22 | semidirect |
| 46. C2×C8×C59 | D4 | semidirect |
| 55. #11745664 | D4 | semidirect |
| 103. C2×#135 | D59 | semidirect |
| 110. C59 | #3155 | semidirect |
| 115. C2×Q16 | C2×D59 | semidirect |
| 117. C2×SD16 | C2×D59 | semidirect |
| 122. C2×D8 | C2×D59 | semidirect |
| 154. C2×C8 | C22⋊D59 | semidirect |