Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14583456 | C2 | semidirect |
| 3. #14583308 | C2 | semidirect |
| 4. #14583293 | C2 | semidirect |
| 5. #14583268 | C2 | semidirect |
| 6. #14583259 | C2 | semidirect |
| 7. #14583157 | C2 | semidirect |
| 9. C4×Dic172 | C2 | semidirect |
| 10. C4×#10621873 | C2 | semidirect |
| 11. C4×M16×C43 | C2 | semidirect |
| 140. C4×M16 | D43 | semidirect |
| 141. C43 | #3172 | semidirect |