Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14582927 | C2 | semidirect |
| 4. C2×C4×C43⋊C8 | C2 | semidirect |
| 5. #14582663 | C2 | semidirect |
| 6. #14582659 | C2 | semidirect |
| 13. #13063249 | C4 | semidirect |
| 14. #13063246 | C4 | semidirect |
| 98. C43 | #1937 | semidirect |