Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
572 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
|---|---|---|
| 1. C2×#13063358 | C2 | semidirect |
| 2. C2×#13063353 | C2 | semidirect |
| 3. #14583449 | C2 | semidirect |
| 4. C2×#13063313 | C2 | semidirect |
| 5. #14583293 | C2 | semidirect |
| 6. #14583288 | C2 | semidirect |
| 7. #14583283 | C2 | semidirect |
| 8. C4×M16×C43 | C2 | semidirect |
| 14. C2×Dic172 | C22 | semidirect |
| 16. C2×#10621873 | C22 | semidirect |
| 18. #13063325 | C22 | semidirect |
| 19. #13063322 | C22 | semidirect |
| 23. #13063313 | C22 | semidirect |
| 29. #97×C43 | C22 | semidirect |
| 30. C4×C8×C43 | C22 | semidirect |
| 48. M16×C43 | D4 | semidirect |
| 114. C4×M16 | D43 | semidirect |
| 115. C43 | #3153 | semidirect |
| 136. #97 | C2×D43 | semidirect |
| 137. C4×C8 | C2×D43 | semidirect |
| 159. M16 | D172 | semidirect |