Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
310 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 51 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. #14583476 | C2 | semidirect |
| 2. #14583035 | C2 | semidirect |
| 3. #14583032 | C2 | semidirect |
| 4. #14582817 | C2 | semidirect |
| 5. #14582632 | C2 | semidirect |
| 6. #14582624 | C2 | semidirect |
| 7. C43×#327 | C2 | semidirect |
| 91. C2×Dic43 | D8 | semidirect |
| 140. #327 | D43 | semidirect |
| 142. C43 | #1598 | semidirect |