Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
596 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 157 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×D344 | C2 | semidirect |
| 2. C22×#10621872 | C2 | semidirect |
| 3. C2×#13063300 | C2 | semidirect |
| 4. #14583153 | C2 | direct (N × H) |
| 5. C2×#13063245 | C2 | semidirect |
| 6. C2×#106×C43 | C2 | semidirect |
| 11. C2×D344 | C22 | semidirect |
| 13. C2×#10621872 | C22 | semidirect |
| 16. #13063300 | C22 | semidirect |
| 18. #13063245 | C22 | semidirect |
| 21. #106×C43 | C22 | semidirect |
| 37. C2×C8×C43 | D4 | semidirect |
| 69. C8×C43 | C2×D4 | semidirect |
| 87. C2×C43 | #469 | semidirect |
| 96. C2×#106 | D43 | semidirect |
| 98. C43 | C2×#469 | semidirect |
| 112. #106 | C2×D43 | semidirect |
| 133. C2×C8 | D172 | semidirect |
| 162. C8 | C2×D172 | semidirect |
| 180. C2 | #14583153 | direct (N × H) |