Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#13063249 | C2 | semidirect |
| 4. C2×#13063244 | C2 | semidirect |
| 5. #14582667 | C2 | semidirect |
| 6. #14582663 | C2 | semidirect |
| 24. #137×C43 | C4 | semidirect |
| 124. C43 | #1908 | semidirect |
| 128. #137 | Dic43 | semidirect |