Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
224 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 81 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×#13063265 | C2 | semidirect |
| 3. #14582708 | C2 | semidirect |
| 4. C43×#427 | C2 | semidirect |
| 8. #13063347 | C4 | semidirect |
| 10. C2×Dic172 | C4 | semidirect |
| 12. C2×D344 | C4 | semidirect |
| 14. #13063265 | C22 | semidirect |
| 19. #106×C43 | C22 | semidirect |
| 87. #427 | D43 | semidirect |
| 89. C43 | #2145 | semidirect |
| 104. #106 | C2×D43 | semidirect |