Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 121 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×Q8×Dic43 | C2 | semidirect |
| 3. #14583232 | C2 | semidirect |
| 5. #14583204 | C2 | semidirect |
| 6. #14583123 | C2 | semidirect |
| 8. #14583006 | C2 | semidirect |
| 9. #14583002 | C2 | semidirect |
| 10. #14582953 | C2 | semidirect |
| 11. C43×#451 | C2 | semidirect |
| 138. #451 | D43 | semidirect |
| 143. C43 | #3117 | semidirect |