Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
500 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 500 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 |
|---|---|---|
| 1. C2×#13063347 | C2 | semidirect |
| 2. #14583410 | C2 | semidirect |
| 3. #14583157 | C2 | semidirect |
| 4. #14583152 | C2 | semidirect |
| 5. #14583145 | C2 | semidirect |
| 6. #14582937 | C2 | semidirect |
| 7. #14582896 | C2 | semidirect |
| 8. C22×M16×C43 | C2 | semidirect |
| 11. C2×Dic172 | C22 | semidirect |
| 12. C2×#10621873 | C22 | semidirect |
| 13. C2×D344 | C22 | semidirect |
| 20. #13063259 | C22 | semidirect |
| 21. #13063257 | C22 | semidirect |
| 22. #13063250 | C22 | semidirect |
| 23. #13063247 | C22 | semidirect |
| 47. C2×C8×C43 | D4 | semidirect |
| 107. C22×M16 | D43 | semidirect |
| 114. C43 | #3054 | semidirect |
| 156. C2×C8 | C22⋊D43 | semidirect |