Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
410 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 137 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. #14583240 | C2 | semidirect |
| 3. #14583234 | C2 | semidirect |
| 4. #14583229 | C2 | semidirect |
| 5. #14582942 | C2 | semidirect |
| 6. #14582907 | C2 | semidirect |
| 18. #13063258 | C22 | semidirect |
| 19. #13063256 | C22 | semidirect |
| 20. #13063248 | C22 | semidirect |
| 21. #13063248 | C22 | semidirect |
| 125. C43 | #3095 | semidirect |