Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
468 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 468 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×#14273757 | C2 | semidirect |
| 3. C22×#11745660 | C2 | semidirect |
| 4. #16837665 | C2 | direct (N × H) |
| 5. C2×#14273663 | C2 | semidirect |
| 6. C2×#14273645 | C2 | semidirect |
| 7. C2×#14273643 | C2 | semidirect |
| 8. C2×#131×C59 | C2 | semidirect |
| 12. #14273757 | C22 | semidirect |
| 19. C2×#11745660 | C22 | semidirect |
| 25. #14273663 | C22 | semidirect |
| 26. #14273645 | C22 | semidirect |
| 27. #14273643 | C22 | semidirect |
| 30. #131×C59 | C22 | semidirect |
| 136. C2×C59 | #471 | semidirect |
| 142. C2×#131 | D59 | semidirect |
| 147. C59 | C2×#471 | semidirect |
| 164. #131 | C2×D59 | semidirect |
| 275. C2 | #16837665 | direct (N × H) |