Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
280 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 280 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 |
|---|---|---|
| 1. C2×#13063242 | C2 | semidirect |
| 2. C2×#13063240 | C2 | semidirect |
| 3. #14582689 | C2 | semidirect |
| 4. #14582686 | C2 | semidirect |
| 12. C22×D4×C43 | C4 | semidirect |
| 15. #123×C43 | C4 | semidirect |
| 20. #120×C43 | C4 | semidirect |
| 22. C2×C22⋊C4×C43 | C4 | semidirect |
| 24. C24×C43 | C2×C4 | semidirect |
| 39. C22×C4×C43 | C2×C4 | semidirect |
| 49. C22⋊C4×C43 | C2×C4 | semidirect |
| 50. C22⋊C4×C43 | C2×C4 | semidirect |
| 132. C43 | #2121 | semidirect |
| 133. C22×D4 | Dic43 | semidirect |
| 137. #123 | Dic43 | semidirect |
| 142. #120 | Dic43 | semidirect |
| 145. C2×C22⋊C4 | Dic43 | semidirect |
| 151. C24 | C2×Dic43 | semidirect |
| 167. C22×C4 | C2×Dic43 | semidirect |
| 181. C22⋊C4 | C2×Dic43 | semidirect |
| 182. C22⋊C4 | C2×Dic43 | semidirect |