Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×#13063323 | C2 | semidirect |
| 3. #14583292 | C2 | semidirect |
| 4. #14583266 | C2 | semidirect |
| 5. #14583107 | C2 | semidirect |
| 6. #14583103 | C2 | semidirect |
| 7. #14583054 | C2 | semidirect |
| 10. #14582953 | C2 | semidirect |
| 11. C43×#451 | C2 | semidirect |
| 145. #451 | D43 | semidirect |
| 149. C43 | #3218 | semidirect |