Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
342 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 3. C22×#10621885 | C2 | semidirect |
| 4. C2×#13063243 | C2 | semidirect |
| 6. #14582663 | C2 | semidirect |
| 7. C2×#101×C43 | C2 | semidirect |
| 127. C2×#101 | D43 | semidirect |
| 130. C43 | #2020 | semidirect |