Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 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×#14273752 | C2 | semidirect |
| 2. C22×#11745669 | C2 | semidirect |
| 3. #16837876 | C2 | semidirect |
| 4. #16837614 | C2 | semidirect |
| 5. #16837594 | C2 | semidirect |
| 6. #16837429 | C2 | semidirect |
| 7. #16837407 | C2 | semidirect |
| 8. #16837398 | C2 | semidirect |
| 9. C59×#535 | C2 | semidirect |
| 12. C2×#11745671 | C22 | semidirect |
| 15. C2×#11745669 | C22 | semidirect |
| 18. C4×D236 | C22 | semidirect |
| 22. C4⋊(C59⋊C8) | C22 | semidirect |
| 23. #14273651 | C22 | semidirect |
| 24. #14273648 | C22 | semidirect |
| 25. #14273648 | C22 | semidirect |
| 28. #127×C59 | C22 | semidirect |
| 29. #124×C59 | C22 | semidirect |
| 49. C2×D236 | D4 | semidirect |
| 124. #535 | D59 | semidirect |
| 131. C59 | #3041 | semidirect |
| 142. #127 | C2×D59 | semidirect |
| 143. #124 | C2×D59 | semidirect |