Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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. C2×#13063356 | C2 | semidirect |
| 3. C2×Q8×Dic43 | C2 | semidirect |
| 4. #14583123 | C2 | semidirect |
| 5. #14583119 | C2 | semidirect |
| 6. #14583107 | C2 | semidirect |
| 7. #14583097 | C2 | semidirect |
| 8. #14582922 | C2 | semidirect |
| 9. #14582901 | C2 | semidirect |
| 10. #14582900 | C2 | semidirect |
| 11. C2×#137×C43 | C2 | semidirect |
| 49. C2×Q8×C43 | D4 | semidirect |
| 150. Dic43 | #137 | semidirect |
| 159. C2×#137 | D43 | semidirect |
| 169. C43 | #3037 | semidirect |
| 210. C2×Q8 | C22⋊D43 | semidirect |