Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14273747 | C2 | semidirect |
| 2. C2×#14273735 | C2 | semidirect |
| 3. #16837983 | C2 | semidirect |
| 4. #16837980 | C2 | semidirect |
| 5. #16837651 | C2 | semidirect |
| 6. #16837647 | C2 | semidirect |
| 7. #16837642 | C2 | semidirect |
| 8. #16837637 | C2 | semidirect |
| 9. C2×#14273660 | C2 | semidirect |
| 10. #16837404 | C2 | semidirect |
| 11. C59×#417 | C2 | semidirect |
| 82. C2×C59⋊C8 | D4 | semidirect |
| 163. #417 | D59 | semidirect |
| 164. C59 | #3061 | semidirect |