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. #14582909 | C2 | semidirect |
| 4. #14582907 | C2 | semidirect |
| 6. #14582659 | C2 | semidirect |
| 7. C43×#339 | C2 | semidirect |
| 12. #13063313 | C4 | semidirect |
| 40. C2×Dic86 | C2×C4 | semidirect |
| 48. C42×C43 | C2×C4 | semidirect |
| 114. #339 | D43 | semidirect |
| 115. C43 | #1885 | semidirect |
| 164. C42 | C4×D43 | semidirect |