Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
468 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#13063284 | C2 | semidirect |
| 3. #14583224 | C2 | direct (N × H) |
| 4. C2×#13063259 | C2 | semidirect |
| 5. C2×#13063257 | C2 | semidirect |
| 6. C2×#13063247 | C2 | semidirect |
| 7. C2×#13063247 | C2 | semidirect |
| 8. C2×C22⋊C8×C43 | C2 | semidirect |
| 14. #13063284 | C22 | semidirect |
| 21. #13063259 | C22 | semidirect |
| 22. #13063257 | C22 | semidirect |
| 23. #13063247 | C22 | semidirect |
| 24. #13063247 | C22 | semidirect |
| 28. C22⋊C8×C43 | C22 | semidirect |
| 110. C2×C43 | #482 | semidirect |
| 122. C2×C22⋊C8 | D43 | semidirect |
| 123. C43 | C2×#482 | semidirect |
| 143. C22⋊C8 | C2×D43 | semidirect |
| 225. C2 | #14583224 | direct (N × H) |