Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
480 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 197 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 |
|---|---|---|
| 4. #14583003 | C2 | direct (N × H) |
| 10. C2×#10621885 | C4 | semidirect |
| 49. #10621885 | C2×C4 | semidirect |
| 99. C2×C43 | #441 | semidirect |
| 111. C43 | C2×#441 | semidirect |
| 201. C2 | #14583003 | direct (N × H) |