Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
492 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 145 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. #14583449 | C2 | semidirect |
| 2. #14583212 | C2 | semidirect |
| 3. #14583179 | C2 | semidirect |
| 4. #14583094 | C2 | semidirect |
| 5. #14583033 | C2 | semidirect |
| 6. C4×#10621882 | C2 | semidirect |
| 7. #14582952 | C2 | semidirect |
| 8. C2×C4×D4×C43 | C2 | semidirect |
| 11. #13063325 | C22 | semidirect |
| 12. #13063322 | C22 | semidirect |
| 17. C4×D172 | C22 | semidirect |
| 18. #13063258 | C22 | semidirect |
| 19. C4⋊(C43⋊C8) | C22 | semidirect |
| 21. #13063245 | C22 | semidirect |
| 23. C4×C43⋊C8 | C22 | semidirect |
| 73. D4×C43 | #41 | semidirect |
| 80. C2×C4×C43 | D8 | semidirect |
| 122. C2×C4×D4 | D43 | semidirect |
| 129. C43 | #3100 | semidirect |
| 199. D4 | #10621898 | semidirect |
| 208. C2×C4 | #10621882 | semidirect |