Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
222 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. C2×#13063235 | C2 | semidirect |
| 5. #14582663 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 7. C43×#424 | C2 | semidirect |
| 13. #13063248 | C4 | semidirect |
| 14. #13063245 | C4 | semidirect |
| 91. #424 | D43 | semidirect |
| 98. C43 | #1938 | semidirect |