Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
360 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×#13063257 | C2 | semidirect |
| 4. #14582662 | C2 | semidirect |
| 17. C22⋊C8×C43 | C4 | semidirect |
| 33. C2×C8×C43 | C2×C4 | semidirect |
| 74. C22×C43 | #106 | semidirect |
| 102. C43 | #1853 | semidirect |
| 113. C22⋊C8 | Dic43 | semidirect |
| 130. C2×C8 | C2×Dic43 | semidirect |
| 171. C22 | #13063257 | semidirect |