Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
572 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13063356 | C2 | semidirect |
| 2. C2×#13063353 | C2 | semidirect |
| 3. C2×#13063350 | C2 | semidirect |
| 4. #14583445 | C2 | semidirect |
| 5. C2×#13063314 | C2 | semidirect |
| 6. #14583292 | C2 | semidirect |
| 7. #14583285 | C2 | semidirect |
| 8. #14583284 | C2 | semidirect |
| 9. #14583280 | C2 | semidirect |
| 10. M16×Dic43 | C2 | semidirect |
| 11. C2×#137×C43 | C2 | semidirect |
| 17. C2×#10621885 | C22 | semidirect |
| 20. C2×#10621884 | C22 | semidirect |
| 24. #13063323 | C22 | semidirect |
| 25. #13063321 | C22 | semidirect |
| 29. #13063314 | C22 | semidirect |
| 30. #13063312 | C22 | semidirect |
| 35. #13063235 | C22 | semidirect |
| 36. C8×Dic43 | C22 | semidirect |
| 40. C2×Q16×C43 | C22 | semidirect |
| 41. C2×SD16×C43 | C22 | semidirect |
| 70. M16×C43 | D4 | semidirect |
| 84. #10621877 | D4 | semidirect |
| 152. C2×#137 | D43 | semidirect |
| 162. C43 | #3153 | semidirect |
| 172. C2×Q16 | C2×D43 | semidirect |
| 176. C2×SD16 | C2×D43 | semidirect |
| 228. M16 | C22⋊D43 | semidirect |