Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
464 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 181 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×#13063333 | C2 | semidirect |
| 3. #14583020 | C2 | direct (N × H) |
| 4. C2×#13063251 | C2 | semidirect |
| 5. C2×#13063235 | C2 | semidirect |
| 6. C2×#108×C43 | C2 | semidirect |
| 8. #13063347 | C4 | semidirect |
| 10. C2×Dic172 | C4 | semidirect |
| 11. C2×#10621873 | C4 | semidirect |
| 12. C2×D344 | C4 | semidirect |
| 14. #13063333 | C22 | semidirect |
| 19. #13063251 | C22 | semidirect |
| 20. #13063235 | C22 | semidirect |
| 23. #108×C43 | C22 | semidirect |
| 46. Dic172 | C2×C4 | semidirect |
| 47. D344 | C2×C4 | semidirect |
| 48. #10621873 | C2×C4 | semidirect |
| 89. C2×C43 | #444 | semidirect |
| 95. C2×#108 | D43 | semidirect |
| 98. C43 | C2×#444 | semidirect |
| 113. #108 | C2×D43 | semidirect |
| 181. C2 | #14583020 | direct (N × H) |