Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
616 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 157 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. C22×#10621882 | C2 | semidirect |
| 2. C22×C8×D43 | C2 | semidirect |
| 3. C2×#13063300 | C2 | semidirect |
| 4. C2×#13063296 | C2 | semidirect |
| 5. #14583134 | C2 | direct (N × H) |
| 6. C2×#13063258 | C2 | semidirect |
| 7. C2×#13063247 | C2 | semidirect |
| 8. C2×#102×C43 | C2 | semidirect |
| 14. C2×#10621882 | C22 | semidirect |
| 17. C2×C8×D43 | C22 | semidirect |
| 19. #13063300 | C22 | semidirect |
| 21. #13063296 | C22 | semidirect |
| 25. #13063258 | C22 | semidirect |
| 26. #13063247 | C22 | semidirect |
| 30. #102×C43 | C22 | semidirect |
| 63. C2×C43⋊C8 | D4 | semidirect |
| 77. C22×D43 | D8 | semidirect |
| 101. C43⋊C8 | C2×D4 | semidirect |
| 117. C2×D43 | C2×D8 | semidirect |
| 126. C2×C43 | #466 | semidirect |
| 139. C2×#102 | D43 | semidirect |
| 140. C43 | C2×#466 | semidirect |
| 162. #102 | C2×D43 | semidirect |
| 259. C2 | #14583134 | direct (N × H) |