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×#14273735 | C2 | semidirect |
| 2. #16837980 | C2 | semidirect |
| 3. #16837969 | C2 | semidirect |
| 4. #16837652 | C2 | semidirect |
| 5. #16837645 | C2 | semidirect |
| 6. #16837635 | C2 | semidirect |
| 7. #16837628 | C2 | semidirect |
| 8. #16837444 | C2 | semidirect |
| 9. #16837398 | C2 | semidirect |
| 10. C2×#14273648 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C59 | C2 | semidirect |
| 14. C2×#11745659 | C22 | semidirect |
| 16. C2×C8×D59 | C22 | semidirect |
| 20. #14273703 | C22 | semidirect |
| 25. #14273698 | C22 | semidirect |
| 29. #14273661 | C22 | semidirect |
| 30. #14273659 | C22 | semidirect |
| 31. #14273651 | C22 | semidirect |
| 32. #14273651 | C22 | semidirect |
| 35. #14273648 | C22 | semidirect |
| 36. #14273648 | C22 | semidirect |
| 67. M16×C59 | D4 | semidirect |
| 152. C2×AGL(1,ℤ/8) | D59 | semidirect |
| 163. C59 | #3062 | semidirect |
| 220. M16 | C22⋊D59 | semidirect |