Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
370 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14583502 | C2 | semidirect |
| 2. #14583201 | C2 | semidirect |
| 3. #14583198 | C2 | semidirect |
| 4. #14583152 | C2 | semidirect |
| 5. #14583133 | C2 | semidirect |
| 6. #14583093 | C2 | semidirect |
| 7. #14583092 | C2 | semidirect |
| 8. #14582927 | C2 | semidirect |
| 9. C43×#469 | C2 | semidirect |
| 114. #469 | D43 | semidirect |
| 119. C43 | #3259 | semidirect |