Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
362 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14583628 | C2 | semidirect |
| 2. #14583294 | C2 | semidirect |
| 4. #14583118 | C2 | semidirect |
| 5. #14583109 | C2 | semidirect |
| 6. #14583104 | C2 | semidirect |
| 8. #14583030 | C2 | semidirect |
| 9. #14582999 | C2 | semidirect |
| 10. C4×#10621885 | C2 | semidirect |
| 133. C43 | #3400 | semidirect |