Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
350 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14583627 | C2 | semidirect |
| 4. #14583279 | C2 | semidirect |
| 6. #14583109 | C2 | semidirect |
| 7. #14583108 | C2 | semidirect |
| 9. #14583029 | C2 | semidirect |
| 10. #14583005 | C2 | semidirect |
| 131. C43 | #3398 | semidirect |