Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 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×#13063356 | C2 | semidirect |
| 2. C2×#13063355 | C2 | semidirect |
| 4. C22×#10621885 | C2 | semidirect |
| 5. #14583475 | C2 | semidirect |
| 6. #14583294 | C2 | semidirect |
| 7. #14583291 | C2 | semidirect |
| 8. #14583281 | C2 | semidirect |
| 9. #14583278 | C2 | semidirect |
| 10. #14582855 | C2 | semidirect |
| 11. C43×#536 | C2 | semidirect |
| 149. #536 | D43 | semidirect |
| 155. C43 | #3156 | semidirect |