Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
752 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 4. #14582906 | C2 | direct (N × H) |
| 5. C2×#13063250 | C2 | semidirect |
| 6. C2×#13063249 | C2 | semidirect |
| 7. C2×#13063248 | C2 | semidirect |
| 8. C2×#103×C43 | C2 | semidirect |
| 13. C2×Q8×D43 | C4 | semidirect |
| 25. #13063250 | C22 | semidirect |
| 26. #13063249 | C22 | semidirect |
| 27. #13063248 | C22 | semidirect |
| 31. #103×C43 | C22 | semidirect |
| 45. Q8×D43 | C2×C4 | semidirect |
| 118. C2×C43 | #419 | semidirect |
| 130. C2×#103 | D43 | semidirect |
| 131. C43 | C2×#419 | semidirect |
| 154. #103 | C2×D43 | semidirect |
| 241. C2 | #14582906 | direct (N × H) |