Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13063347 | C2 | semidirect |
| 2. #14583335 | C2 | direct (N × H) |
| 3. C2×#13063269 | C2 | semidirect |
| 4. C2×#13063266 | C2 | semidirect |
| 5. C2×#13063265 | C2 | semidirect |
| 6. C22×D8×C43 | C2 | semidirect |
| 9. #13063347 | C22 | semidirect |
| 10. C2×Dic172 | C22 | semidirect |
| 12. C2×D344 | C22 | semidirect |
| 13. #13063269 | C22 | semidirect |
| 14. #13063266 | C22 | semidirect |
| 15. #13063265 | C22 | semidirect |
| 16. C2×C43⋊C16 | C22 | semidirect |
| 21. C2×D8×C43 | C22 | semidirect |
| 43. Dic172 | C23 | semidirect |
| 45. D344 | C23 | semidirect |
| 47. C43⋊C16 | C23 | semidirect |
| 85. C2×C43 | #509 | semidirect |
| 89. C22×D8 | D43 | semidirect |
| 94. C43 | C2×#509 | semidirect |
| 105. C2×D8 | C2×D43 | semidirect |
| 173. C2 | #14583335 | direct (N × H) |