Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
412 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13063316 | C2 | semidirect |
| 3. #14583255 | C2 | direct (N × H) |
| 4. C2×#13063249 | C2 | semidirect |
| 7. C2×C8×Dic43 | C2 | semidirect |
| 8. C2×#103×C43 | C2 | semidirect |
| 12. #13063316 | C22 | semidirect |
| 21. #13063249 | C22 | semidirect |
| 24. C8×Dic43 | C22 | semidirect |
| 28. #103×C43 | C22 | semidirect |
| 102. C2×C43 | #488 | semidirect |
| 111. C2×#103 | D43 | semidirect |
| 115. C43 | C2×#488 | semidirect |
| 132. #103 | C2×D43 | semidirect |
| 209. C2 | #14583255 | direct (N × H) |