Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 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 |
|---|---|---|
| 1. #14583449 | C2 | semidirect |
| 2. C2×C4×D172 | C2 | semidirect |
| 3. #14583213 | C2 | semidirect |
| 4. #14583180 | C2 | semidirect |
| 5. #14583095 | C2 | semidirect |
| 6. #14583035 | C2 | semidirect |
| 7. C4×D344 | C2 | semidirect |
| 8. C43×#431 | C2 | semidirect |
| 13. #13063325 | C22 | semidirect |
| 14. #13063322 | C22 | semidirect |
| 23. C4×D172 | C22 | semidirect |
| 26. #13063259 | C22 | semidirect |
| 28. #13063247 | C22 | semidirect |
| 30. C4⋊C8×C43 | C22 | semidirect |
| 32. C4×C8×C43 | C22 | semidirect |
| 73. C2×C4×C43 | D8 | semidirect |
| 89. D172 | #41 | semidirect |
| 128. #431 | D43 | semidirect |
| 129. C43 | #3100 | semidirect |
| 149. C4⋊C8 | C2×D43 | semidirect |
| 153. C4×C8 | C2×D43 | semidirect |
| 208. C2×C4 | D344 | semidirect |