Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
468 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
| 3. C22×#10621883 | C2 | semidirect |
| 4. C2×#13063333 | C2 | semidirect |
| 5. #14583161 | C2 | direct (N × H) |
| 6. C2×#13063260 | C2 | semidirect |
| 7. C2×#13063243 | C2 | semidirect |
| 8. C2×#100×C43 | C2 | semidirect |
| 12. #13063358 | C22 | semidirect |
| 21. C2×#10621883 | C22 | semidirect |
| 24. #13063333 | C22 | semidirect |
| 29. #13063260 | C22 | semidirect |
| 30. #13063243 | C22 | semidirect |
| 34. #100×C43 | C22 | semidirect |
| 136. C2×C43 | #471 | semidirect |
| 146. C2×#100 | D43 | semidirect |
| 147. C43 | C2×#471 | semidirect |
| 173. #100 | C2×D43 | semidirect |
| 275. C2 | #14583161 | direct (N × H) |