Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
468 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 468 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. C2×#13063283 | C2 | semidirect |
| 3. #14583226 | C2 | direct (N × H) |
| 4. C2×#13063256 | C2 | semidirect |
| 5. C2×#13063247 | C2 | semidirect |
| 6. C2×#13063245 | C2 | semidirect |
| 7. C2×(C2×D43)⋊C8 | C2 | semidirect |
| 8. C2×#107×C43 | C2 | semidirect |
| 16. #13063283 | C22 | semidirect |
| 21. #13063256 | C22 | semidirect |
| 22. #13063247 | C22 | semidirect |
| 23. #13063245 | C22 | semidirect |
| 24. (C2×D43)⋊C8 | C22 | semidirect |
| 28. #107×C43 | C22 | semidirect |
| 109. C2×C43 | #482 | semidirect |
| 118. C2×#107 | D43 | semidirect |
| 123. C43 | C2×#482 | semidirect |
| 139. #107 | C2×D43 | semidirect |
| 225. C2 | #14583226 | direct (N × H) |