Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
362 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 2. C22×#10621884 | C2 | semidirect |
| 3. C2×#13063244 | C2 | semidirect |
| 4. C2×#13063241 | C2 | semidirect |
| 5. #14582866 | C2 | semidirect |
| 6. #14582663 | C2 | semidirect |
| 7. C2×#137×C43 | C2 | semidirect |
| 128. C2×#137 | D43 | semidirect |
| 135. C43 | #2019 | semidirect |