Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
598 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 1. C22×C22⋊Dic43 | C2 | semidirect |
| 2. C2×#13063240 | C2 | semidirect |
| 3. #14582755 | C2 | semidirect |
| 4. #14582666 | C2 | semidirect |
| 14. C22×D4×C43 | C4 | semidirect |
| 19. C2×C22⋊C4×C43 | C4 | semidirect |
| 25. C24×C43 | C2×C4 | semidirect |
| 37. C22×C4×C43 | C2×C4 | semidirect |
| 38. C22×C4×C43 | C2×C4 | semidirect |
| 52. C22⋊Dic43 | D4 | semidirect |
| 111. C22×C43 | #99 | semidirect |
| 136. C43 | #1898 | semidirect |
| 138. C22×D4 | Dic43 | semidirect |
| 149. C2×C22⋊C4 | Dic43 | semidirect |
| 156. C24 | C2×Dic43 | semidirect |
| 172. C22×C4 | C2×Dic43 | semidirect |
| 173. C22×C4 | C2×Dic43 | semidirect |
| 242. C22 | #13063240 | semidirect |