Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
596 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 157 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. C22×#11745659 | C2 | semidirect |
| 2. C2×#14273698 | C2 | semidirect |
| 3. #16837652 | C2 | direct (N × H) |
| 4. C2×#14273659 | C2 | semidirect |
| 5. C2×#14273648 | C2 | semidirect |
| 6. C22×D8×C59 | C2 | semidirect |
| 10. C2×#11745659 | C22 | semidirect |
| 13. #14273698 | C22 | semidirect |
| 16. #14273659 | C22 | semidirect |
| 17. #14273648 | C22 | semidirect |
| 20. C2×D8×C59 | C22 | semidirect |
| 38. C2×C8×C59 | D4 | semidirect |
| 69. C8×C59 | C2×D4 | semidirect |
| 88. C2×C59 | #469 | semidirect |
| 92. C22×D8 | D59 | semidirect |
| 98. C59 | C2×#469 | semidirect |
| 103. C2×D8 | C2×D59 | semidirect |
| 133. C2×C8 | C22⋊D59 | semidirect |
| 162. C8 | C2×C22⋊D59 | semidirect |
| 180. C2 | #16837652 | direct (N × H) |