Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
778 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 778 conjugacy classes of subgroups — too many to draw. Only its 253 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. #14583382 | C2 | semidirect |
| 3. #14582905 | C2 | semidirect |
| 4. #14582901 | C2 | semidirect |
| 5. #14582896 | C2 | semidirect |
| 6. C2×#13063247 | C2 | semidirect |
| 7. C2×#131×C43 | C2 | semidirect |
| 9. #13063371 | C4 | semidirect |
| 16. #13063284 | C22 | semidirect |
| 17. C2×C4⋊Dic43 | C22 | semidirect |
| 18. #13063250 | C22 | semidirect |
| 19. #13063250 | C22 | semidirect |
| 20. #13063247 | C22 | semidirect |
| 21. #13063247 | C22 | semidirect |
| 22. #13063247 | C22 | semidirect |
| 25. C2×M16×C43 | C22 | semidirect |
| 26. C22×C8×C43 | C22 | semidirect |
| 38. #10621898 | C2×C4 | semidirect |
| 41. C2×D172 | C2×C4 | semidirect |
| 99. C2×#131 | D43 | semidirect |
| 105. C43 | #2897 | semidirect |
| 114. C2×M16 | C2×D43 | semidirect |
| 115. C22×C8 | C2×D43 | semidirect |