Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
668 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 165 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×#10621873 | C2 | semidirect |
| 2. C22×#10621883 | C2 | semidirect |
| 3. C22×#10621882 | C2 | semidirect |
| 4. C2×#13063321 | C2 | semidirect |
| 5. C2×#13063312 | C2 | semidirect |
| 6. #14583287 | C2 | direct (N × H) |
| 7. C2×#13063235 | C2 | semidirect |
| 8. C22×D8×C43 | C2 | semidirect |
| 13. C2×#10621873 | C22 | semidirect |
| 15. C2×#10621883 | C22 | semidirect |
| 17. C2×#10621882 | C22 | semidirect |
| 20. #13063321 | C22 | semidirect |
| 22. #13063312 | C22 | semidirect |
| 25. #13063235 | C22 | semidirect |
| 29. C2×D8×C43 | C22 | semidirect |
| 56. C2×C8×C43 | D4 | semidirect |
| 63. C2×C43⋊C8 | D4 | semidirect |
| 97. C8×C43 | C2×D4 | semidirect |
| 98. C43⋊C8 | C2×D4 | semidirect |
| 119. C2×C43 | #496 | semidirect |
| 126. C22×D8 | D43 | semidirect |
| 131. C43 | C2×#496 | semidirect |
| 144. C2×D8 | C2×D43 | semidirect |
| 184. C2×C8 | C22⋊D43 | semidirect |
| 221. C8 | C2×C22⋊D43 | semidirect |
| 242. C2 | #14583287 | direct (N × H) |