Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
286 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 286 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. #14582939 | C2 | semidirect |
| 5. #14582668 | C2 | semidirect |
| 6. #14582659 | C2 | semidirect |
| 7. C43×#382 | C2 | semidirect |
| 19. #13063253 | C4 | semidirect |
| 44. C42×C43 | C2×C4 | semidirect |
| 55. #10621877 | C2×C4 | semidirect |
| 116. #382 | D43 | semidirect |
| 119. C43 | #1860 | semidirect |
| 169. C42 | C4×D43 | semidirect |