Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
368 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 368 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. C2×#13063348 | C2 | semidirect |
| 2. C2×#13063344 | C2 | semidirect |
| 3. #14583330 | C2 | direct (N × H) |
| 4. C2×#13063271 | C2 | semidirect |
| 5. C2×#13063270 | C2 | semidirect |
| 6. C2×#13063266 | C2 | semidirect |
| 7. C2×C16×D43 | C2 | semidirect |
| 8. C2×SD32×C43 | C2 | semidirect |
| 12. #13063348 | C22 | semidirect |
| 14. #13063344 | C22 | semidirect |
| 20. #13063271 | C22 | semidirect |
| 21. #13063270 | C22 | semidirect |
| 22. #13063266 | C22 | semidirect |
| 24. C16×D43 | C22 | semidirect |
| 27. SD32×C43 | C22 | semidirect |
| 96. C2×C43 | #508 | semidirect |
| 105. C2×SD32 | D43 | semidirect |
| 108. C43 | C2×#508 | semidirect |
| 124. SD32 | C2×D43 | semidirect |
| 197. C2 | #14583330 | direct (N × H) |