Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
440 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 145 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. #14583196 | C2 | semidirect |
| 3. #14583186 | C2 | semidirect |
| 4. #14583176 | C2 | semidirect |
| 5. #14582942 | C2 | semidirect |
| 6. #14582923 | C2 | semidirect |
| 8. C43×#533 | C2 | semidirect |
| 18. #13063258 | C22 | semidirect |
| 19. #13063256 | C22 | semidirect |
| 20. C4⋊(C43⋊C8) | C22 | semidirect |
| 21. C4⋊(C43⋊C8) | C22 | semidirect |
| 24. C4⋊Q8×C43 | C22 | semidirect |
| 25. C4⋊Q8×C43 | C22 | semidirect |
| 26. #125×C43 | C22 | semidirect |
| 42. C2×D172 | Q8 | semidirect |
| 116. #533 | D43 | semidirect |
| 124. C43 | #3077 | semidirect |
| 128. C4⋊Q8 | C2×D43 | semidirect |
| 129. C4⋊Q8 | C2×D43 | semidirect |
| 130. #125 | C2×D43 | semidirect |