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 |
|---|---|---|
| 1. C2×#13063356 | C2 | semidirect |
| 3. #14583379 | C2 | semidirect |
| 4. #14583118 | C2 | semidirect |
| 5. #14583111 | C2 | semidirect |
| 6. #14583106 | C2 | semidirect |
| 7. #14583101 | C2 | semidirect |
| 8. #14582926 | C2 | semidirect |
| 9. #14582900 | C2 | semidirect |
| 10. C2×#13063249 | C2 | semidirect |
| 11. C43×#536 | C2 | semidirect |
| 149. #536 | D43 | semidirect |
| 158. C43 | #3046 | semidirect |