Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583530 | C2 | semidirect |
| 3. #14583266 | C2 | semidirect |
| 4. #14583260 | C2 | semidirect |
| 5. #14583255 | C2 | semidirect |
| 6. #14583248 | C2 | semidirect |
| 7. #14582908 | C2 | semidirect |
| 10. #14582854 | C2 | semidirect |
| 11. C2×#103×C43 | C2 | semidirect |
| 137. C2×#103 | D43 | semidirect |
| 139. C43 | #3137 | semidirect |