Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14583377 | C2 | semidirect |
| 4. #14583123 | C2 | semidirect |
| 5. #14583107 | C2 | semidirect |
| 6. #14582925 | C2 | semidirect |
| 7. #14582908 | C2 | semidirect |
| 9. C22×Q16×C43 | C2 | semidirect |
| 113. C22×Q16 | D43 | semidirect |
| 121. C43 | #3044 | semidirect |