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. C22×#10621884 | C2 | semidirect |
| 3. #14583377 | C2 | semidirect |
| 4. #14583123 | C2 | semidirect |
| 5. #14583097 | C2 | semidirect |
| 6. #14582927 | C2 | semidirect |
| 7. #14582905 | C2 | semidirect |
| 8. #14582895 | C2 | semidirect |
| 9. C2×#137×C43 | C2 | semidirect |
| 19. Q8×Dic43 | C22 | semidirect |
| 23. Dic43⋊C8 | C22 | semidirect |
| 24. #13063249 | C22 | semidirect |
| 26. #13063246 | C22 | semidirect |
| 30. C2×Q16×C43 | C22 | semidirect |
| 31. C2×SD16×C43 | C22 | semidirect |
| 38. C2×Q8×C43 | D4 | semidirect |
| 117. C2×#137 | D43 | semidirect |
| 126. C43 | #3043 | semidirect |
| 131. C2×Q16 | C2×D43 | semidirect |
| 134. C2×SD16 | C2×D43 | semidirect |
| 155. C2×Q8 | C22⋊D43 | semidirect |