Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 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×#14273749 | C2 | semidirect |
| 2. C2×#14273747 | C2 | semidirect |
| 3. #16837948 | C2 | semidirect |
| 4. #16837795 | C2 | semidirect |
| 5. #16837793 | C2 | semidirect |
| 6. #16837790 | C2 | semidirect |
| 7. #16837788 | C2 | semidirect |
| 8. C2×#14273637 | C2 | semidirect |
| 9. C2×#135×C59 | C2 | semidirect |
| 54. C2×C8×C59 | D4 | semidirect |
| 66. C2×C59⋊C8 | D4 | semidirect |
| 119. C2×#135 | D59 | semidirect |
| 126. C59 | #3150 | semidirect |
| 180. C2×C8 | C22⋊D59 | semidirect |