Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 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×#13063373 | C2 | semidirect |
| 2. C2×#13063351 | C2 | semidirect |
| 3. #14583466 | C2 | semidirect |
| 4. #14583043 | C2 | semidirect |
| 5. #14583036 | C2 | semidirect |
| 6. #14582908 | C2 | semidirect |
| 7. #14582896 | C2 | semidirect |
| 8. #14582865 | C2 | semidirect |
| 9. C22×SD16×C43 | C2 | semidirect |
| 13. C2×#10621902 | C22 | semidirect |
| 18. C2×Q8×D43 | C22 | semidirect |
| 28. #13063250 | C22 | semidirect |
| 29. #13063249 | C22 | semidirect |
| 30. #13063247 | C22 | semidirect |
| 31. (C2×D43)⋊C8 | C22 | semidirect |
| 40. C2×Q8×C43 | D4 | semidirect |
| 61. #10621898 | D4 | semidirect |
| 148. C22×SD16 | D43 | semidirect |
| 155. C43 | #3010 | semidirect |
| 200. C2×Q8 | C22⋊D43 | semidirect |