Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13063356 | C2 | semidirect |
| 3. #14583377 | C2 | semidirect |
| 4. #14583119 | C2 | semidirect |
| 5. #14583097 | C2 | semidirect |
| 6. #14582925 | C2 | semidirect |
| 7. #14582904 | C2 | semidirect |
| 8. #14582896 | C2 | semidirect |
| 9. C22×SD16×C43 | C2 | semidirect |
| 12. C2×#10621885 | C22 | semidirect |
| 13. C2×#10621884 | C22 | semidirect |
| 20. Q8×Dic43 | C22 | semidirect |
| 24. Dic43⋊C8 | C22 | semidirect |
| 25. #13063250 | C22 | semidirect |
| 26. #13063247 | C22 | semidirect |
| 36. C2×Q8×C43 | D4 | semidirect |
| 118. C22×SD16 | D43 | semidirect |
| 126. C43 | #3043 | semidirect |
| 156. C2×Q8 | C22⋊D43 | semidirect |