Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
544 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 544 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 |
|---|---|---|
| 2. C2×#13063323 | C2 | semidirect |
| 4. #14583102 | C2 | direct (N × H) |
| 5. C2×Dic43⋊C8 | C2 | semidirect |
| 6. C2×#13063250 | C2 | semidirect |
| 7. C2×#13063249 | C2 | semidirect |
| 15. #13063323 | C22 | semidirect |
| 23. Dic43⋊C8 | C22 | semidirect |
| 24. #13063250 | C22 | semidirect |
| 25. #13063249 | C22 | semidirect |
| 88. C2×Dic43 | SD16 | semidirect |
| 111. Dic43 | C2×SD16 | semidirect |
| 114. C2×C43 | #461 | semidirect |
| 126. C43 | C2×#461 | semidirect |
| 231. C2 | #14583102 | direct (N × H) |