Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 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×#13063344 | C2 | semidirect |
| 2. #14583553 | C2 | semidirect |
| 3. #14583279 | C2 | semidirect |
| 4. #14583141 | C2 | semidirect |
| 5. #14583104 | C2 | semidirect |
| 6. #14583062 | C2 | semidirect |
| 7. C8×D172 | C2 | semidirect |
| 8. C4×D8×C43 | C2 | semidirect |
| 38. D8×C43 | D4 | semidirect |
| 85. C4×C43 | #135 | semidirect |
| 102. C4×D8 | D43 | semidirect |
| 104. C43 | #3283 | semidirect |
| 137. D8 | D172 | semidirect |
| 183. C4 | #13063344 | semidirect |