Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 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 |
|---|---|---|
| 2. #14583196 | C2 | semidirect |
| 3. #14583196 | C2 | semidirect |
| 4. #14583186 | C2 | semidirect |
| 5. #14583176 | C2 | semidirect |
| 6. #14582939 | C2 | semidirect |
| 7. #14582935 | C2 | semidirect |
| 8. #14582926 | C2 | semidirect |
| 11. C43×#544 | C2 | semidirect |
| 21. #13063258 | C22 | semidirect |
| 22. #13063258 | C22 | semidirect |
| 23. #13063258 | C22 | semidirect |
| 24. #13063256 | C22 | semidirect |
| 25. #13063256 | C22 | semidirect |
| 26. #13063256 | C22 | semidirect |
| 27. C4⋊(C43⋊C8) | C22 | semidirect |
| 28. C4⋊(C43⋊C8) | C22 | semidirect |
| 34. C4⋊Q8×C43 | C22 | semidirect |
| 36. #125×C43 | C22 | semidirect |
| 47. C2×D172 | Q8 | semidirect |
| 125. #544 | D43 | semidirect |
| 136. C43 | #3081 | semidirect |
| 141. C4⋊Q8 | C2×D43 | semidirect |
| 143. #125 | C2×D43 | semidirect |