Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
492 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 492 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. C22×#10621884 | C2 | semidirect |
| 2. C2×#13063333 | C2 | semidirect |
| 3. #14583473 | C2 | semidirect |
| 5. #14583148 | C2 | semidirect |
| 6. #14583131 | C2 | semidirect |
| 7. #14582935 | C2 | semidirect |
| 8. #14582905 | C2 | semidirect |
| 9. C43×#419 | C2 | semidirect |
| 16. C2×#10621872 | C22 | semidirect |
| 18. C2×C8×D43 | C22 | semidirect |
| 24. #13063301 | C22 | semidirect |
| 28. #13063258 | C22 | semidirect |
| 29. #13063256 | C22 | semidirect |
| 34. #103×C43 | C22 | semidirect |
| 66. C2×C43⋊C8 | D4 | semidirect |
| 128. #419 | D43 | semidirect |
| 130. C43 | #3057 | semidirect |
| 154. #103 | C2×D43 | semidirect |