Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
484 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 484 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. #16837980 | C2 | semidirect |
| 3. #16837648 | C2 | semidirect |
| 4. #16837643 | C2 | semidirect |
| 5. #16837638 | C2 | semidirect |
| 6. C2×#14273661 | C2 | semidirect |
| 7. #16837404 | C2 | semidirect |
| 8. C2×#131×C59 | C2 | semidirect |
| 48. C2×C8×C59 | D4 | semidirect |
| 110. C2×#131 | D59 | semidirect |
| 117. C59 | #3061 | semidirect |
| 160. C2×C8 | C22⋊D59 | semidirect |