Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
284 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 2. #14582949 | C2 | semidirect |
| 3. #14582750 | C2 | semidirect |
| 4. #14582634 | C2 | semidirect |
| 5. #14582633 | C2 | semidirect |
| 6. #14582632 | C2 | semidirect |
| 7. C43×#327 | C2 | semidirect |
| 9. #13063324 | C4 | semidirect |
| 10. #13063321 | C4 | semidirect |
| 14. D4×Dic43 | C4 | semidirect |
| 15. #13063287 | C4 | semidirect |
| 127. #327 | D43 | semidirect |
| 128. C43 | #1502 | semidirect |