Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
216 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14583339 | C2 | semidirect |
| 2. C2×#13063269 | C2 | semidirect |
| 3. #14583174 | C2 | semidirect |
| 4. #14582712 | C2 | semidirect |
| 5. #14582706 | C2 | semidirect |
| 6. #14582683 | C2 | semidirect |
| 9. C2×Dic172 | C22 | semidirect |
| 13. #13063265 | C22 | semidirect |
| 14. C2×C43⋊C16 | C22 | semidirect |
| 15. #13063261 | C22 | semidirect |
| 99. C43 | #2194 | semidirect |