Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
448 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14583622 | C2 | semidirect |
| 3. #14583246 | C2 | semidirect |
| 4. #14583225 | C2 | semidirect |
| 5. #14583179 | C2 | semidirect |
| 6. #14583148 | C2 | semidirect |
| 7. #14583099 | C2 | semidirect |
| 8. #14583048 | C2 | semidirect |
| 9. #14582978 | C2 | semidirect |
| 10. #14582902 | C2 | semidirect |
| 11. C4×SD16×C43 | C2 | semidirect |
| 14. C2×#10621884 | C22 | semidirect |
| 15. C2×#10621872 | C22 | semidirect |
| 16. #13063325 | C22 | semidirect |
| 20. #13063301 | C22 | semidirect |
| 26. #13063283 | C22 | semidirect |
| 27. #13063258 | C22 | semidirect |
| 28. C4⋊(C43⋊C8) | C22 | semidirect |
| 29. #13063247 | C22 | semidirect |
| 30. #13063247 | C22 | semidirect |
| 32. #13063245 | C22 | semidirect |
| 33. (C2×D43)⋊C8 | C22 | semidirect |
| 35. C4×Q8×C43 | C22 | semidirect |
| 37. #106×C43 | C22 | semidirect |
| 38. #103×C43 | C22 | semidirect |
| 40. C4×C8×C43 | C22 | semidirect |
| 144. C4×SD16 | D43 | semidirect |
| 147. C43 | #3324 | semidirect |
| 162. C4×Q8 | C2×D43 | semidirect |
| 167. #106 | C2×D43 | semidirect |
| 169. #103 | C2×D43 | semidirect |
| 176. C4×C8 | C2×D43 | semidirect |