Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
232 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 85 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 | direct (N × H) |
| 4. C2×#106×C43 | 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 |
| 39. Dic172 | C2×C4 | semidirect |
| 41. D344 | C2×C4 | semidirect |
| 83. C2×C43 | #360 | semidirect |
| 88. C2×#106 | D43 | semidirect |
| 90. C43 | C2×#360 | semidirect |
| 105. #106 | C2×D43 | semidirect |
| 169. C2 | #14582708 | direct (N × H) |