Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
324 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. #14583665 | C2 | semidirect |
| 3. #14582915 | C2 | semidirect |
| 4. #14582904 | C2 | semidirect |
| 5. #14582671 | C2 | semidirect |
| 6. C43⋊#338 | C2 | semidirect |
| 7. C2×#100×C43 | C2 | semidirect |
| 11. C2×#10621883 | C4 | semidirect |
| 12. C2×#10621882 | C4 | semidirect |
| 117. C2×#100 | D43 | semidirect |
| 120. C43 | #1903 | semidirect |