Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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. #14583697 | C2 | semidirect |
| 2. C2×#13063351 | C2 | semidirect |
| 3. #14583665 | C2 | semidirect |
| 4. #14583166 | C2 | semidirect |
| 5. #14583159 | C2 | semidirect |
| 6. #14582948 | C2 | semidirect |
| 7. #14582883 | C2 | semidirect |
| 8. C2×#13063242 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C43 | C2 | semidirect |
| 11. #13063356 | C22 | semidirect |
| 15. #13063351 | C22 | semidirect |
| 21. #13063331 | C22 | semidirect |
| 26. #13063261 | C22 | semidirect |
| 27. #13063244 | C22 | semidirect |
| 28. #13063242 | C22 | semidirect |
| 29. #13063242 | C22 | semidirect |
| 34. C2×SD16×C43 | C22 | semidirect |
| 35. C2×D8×C43 | C22 | semidirect |
| 150. C2×AGL(1,ℤ/8) | D43 | semidirect |
| 157. C43 | #3068 | semidirect |
| 171. C2×SD16 | C2×D43 | semidirect |
| 173. C2×D8 | C2×D43 | semidirect |