Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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. #14583234 | C2 | semidirect |
| 3. #14583232 | C2 | semidirect |
| 4. #14583138 | C2 | semidirect |
| 5. #14583055 | C2 | semidirect |
| 6. #14583054 | C2 | semidirect |
| 10. C2×#10621885 | C22 | semidirect |
| 19. #13063258 | C22 | semidirect |
| 20. #13063249 | C22 | semidirect |
| 21. #13063248 | C22 | semidirect |
| 68. C23×C43 | Q16 | semidirect |
| 129. C43 | #3189 | semidirect |
| 189. C23 | #10621885 | semidirect |