Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14583473 | C2 | semidirect |
| 3. #14583382 | C2 | semidirect |
| 4. #14583123 | C2 | semidirect |
| 5. #14583116 | C2 | semidirect |
| 6. #14583107 | C2 | semidirect |
| 7. #14583102 | C2 | semidirect |
| 8. #14582927 | C2 | semidirect |
| 9. #14582901 | C2 | semidirect |
| 10. C2×#13063249 | C2 | semidirect |
| 11. C2×#137×C43 | C2 | semidirect |
| 147. C2×#137 | D43 | semidirect |
| 158. C43 | #3046 | semidirect |