Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
400 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 117 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×#14273746 | C2 | semidirect |
| 2. C2×D8×D59 | C2 | semidirect |
| 3. #16837836 | C2 | direct (N × H) |
| 4. C2×#14273672 | C2 | semidirect |
| 5. C2×#14273671 | C2 | semidirect |
| 6. C2×#14273668 | C2 | semidirect |
| 7. C2×#14273666 | C2 | semidirect |
| 8. C2×D16×C59 | C2 | semidirect |
| 12. #14273746 | C22 | semidirect |
| 13. C2×Dic236 | C22 | semidirect |
| 18. D8×D59 | C22 | semidirect |
| 20. #14273672 | C22 | semidirect |
| 21. #14273671 | C22 | semidirect |
| 22. #14273668 | C22 | semidirect |
| 23. #14273666 | C22 | semidirect |
| 24. C2×C59⋊C16 | C22 | semidirect |
| 26. C2×D8×C59 | C22 | semidirect |
| 27. D16×C59 | C22 | semidirect |
| 28. C2×C16×C59 | C22 | semidirect |
| 45. D8×C59 | C23 | semidirect |
| 51. Dic236 | C23 | semidirect |
| 56. C16×C59 | C23 | semidirect |
| 57. C59⋊C16 | C23 | semidirect |
| 100. C2×C59 | #509 | semidirect |
| 110. C2×D16 | D59 | semidirect |
| 112. C59 | C2×#509 | semidirect |
| 124. C2×D8 | C2×D59 | semidirect |
| 129. D16 | C2×D59 | semidirect |
| 132. C2×C16 | C2×D59 | semidirect |
| 155. D8 | C22×D59 | semidirect |
| 161. C16 | C22×D59 | semidirect |
| 205. C2 | #16837836 | direct (N × H) |