Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
308 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 11. #13063323 | C4 | semidirect |
| 112. C43 | #1960 | semidirect |