Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
444 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 444 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 |
|---|---|---|
| 2. #14583373 | C2 | semidirect |
| 3. #14582904 | C2 | semidirect |
| 4. C2×#13063241 | C2 | semidirect |
| 5. #14582660 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 7. C43×#418 | C2 | semidirect |
| 12. #13063321 | C4 | semidirect |
| 31. C2×D4×C43 | C2×C4 | semidirect |
| 46. C4⋊C4×C43 | D4 | semidirect |
| 51. C4⋊Dic43 | D4 | semidirect |
| 54. C4×Dic43 | C2×C4 | semidirect |
| 118. #418 | D43 | semidirect |
| 122. C43 | #1887 | semidirect |
| 154. C2×D4 | C4×D43 | semidirect |
| 165. C4⋊C4 | C22⋊D43 | semidirect |