Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
360 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 3. #14582908 | C2 | semidirect |
| 5. #14582660 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 7. C43×#419 | C2 | semidirect |
| 11. #13063314 | C4 | semidirect |
| 30. C2×Q8×C43 | C2×C4 | semidirect |
| 53. C4×Dic43 | C2×C4 | semidirect |
| 111. #419 | D43 | semidirect |
| 115. C43 | #1885 | semidirect |
| 138. C2×Q8 | C4×D43 | semidirect |