Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
364 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583305 | C2 | semidirect |
| 3. #14583291 | C2 | semidirect |
| 4. #14583267 | C2 | semidirect |
| 5. #14583261 | C2 | semidirect |
| 6. #14583155 | C2 | semidirect |
| 8. C4×#10621885 | C2 | semidirect |
| 9. C4×#10621884 | C2 | semidirect |
| 10. C4×#10621877 | C2 | semidirect |
| 11. C43×#533 | C2 | semidirect |
| 130. #533 | D43 | semidirect |
| 141. C43 | #3172 | semidirect |