Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
544 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 165 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×#10621873 | C2 | semidirect |
| 2. C2×#13063304 | C2 | semidirect |
| 4. #14583145 | C2 | direct (N × H) |
| 5. C2×#13063259 | C2 | semidirect |
| 6. C2×#13063250 | C2 | semidirect |
| 7. C2×#13063247 | C2 | semidirect |
| 8. C22×M16×C43 | C2 | semidirect |
| 13. C2×#10621873 | C22 | semidirect |
| 15. #13063304 | C22 | semidirect |
| 23. #13063259 | C22 | semidirect |
| 24. #13063250 | C22 | semidirect |
| 25. #13063247 | C22 | semidirect |
| 28. C2×M16×C43 | C22 | semidirect |
| 54. C2×C8×C43 | D4 | semidirect |
| 97. C8×C43 | C2×D4 | semidirect |
| 119. C2×C43 | #468 | semidirect |
| 125. C22×M16 | D43 | semidirect |
| 132. C43 | C2×#468 | semidirect |
| 140. C2×M16 | C2×D43 | semidirect |
| 179. C2×C8 | C22⋊D43 | semidirect |
| 221. C8 | C2×C22⋊D43 | semidirect |
| 243. C2 | #14583145 | direct (N × H) |