Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583449 | C2 | semidirect |
| 2. #14583189 | C2 | semidirect |
| 3. #14583186 | C2 | semidirect |
| 4. #14583150 | C2 | semidirect |
| 5. #14583094 | C2 | semidirect |
| 6. #14583091 | C2 | semidirect |
| 7. #14582923 | C2 | semidirect |
| 8. C43×#532 | C2 | semidirect |
| 122. #532 | D43 | semidirect |
| 129. C43 | #3253 | semidirect |