Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
500 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 500 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. C22×Dic172 | C2 | semidirect |
| 4. C2×#13063290 | C2 | semidirect |
| 5. #14583120 | C2 | direct (N × H) |
| 6. C2×Dic43⋊C8 | C2 | semidirect |
| 7. C2×#13063248 | C2 | semidirect |
| 12. C2×Dic172 | C22 | semidirect |
| 19. #13063290 | C22 | semidirect |
| 25. Dic43⋊C8 | C22 | semidirect |
| 26. #13063248 | C22 | semidirect |
| 112. C2×C43 | #464 | semidirect |
| 124. C43 | C2×#464 | semidirect |
| 227. C2 | #14583120 | direct (N × H) |