Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
244 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14583452 | C2 | semidirect |
| 5. #14582671 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 7. C43×H(3,ℤ/4) | C2 | semidirect |
| 30. C2×D172 | Q8 | semidirect |
| 33. C2×Dic86 | Q8 | semidirect |
| 109. H(3,ℤ/4) | D43 | semidirect |
| 110. C43 | #2031 | semidirect |