Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14583599 | C2 | semidirect |
| 2. #14583301 | C2 | semidirect |
| 3. #14583221 | C2 | semidirect |
| 4. #14583211 | C2 | semidirect |
| 5. #14583199 | C2 | semidirect |
| 6. #14583149 | C2 | semidirect |
| 7. #14582978 | C2 | semidirect |
| 8. #14582940 | C2 | semidirect |
| 9. C4×D8×C43 | C2 | semidirect |
| 109. C4×D8 | D43 | semidirect |
| 112. C43 | #3355 | semidirect |