Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
232 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14582939 | C2 | semidirect |
| 5. #14582857 | C2 | semidirect |
| 6. #14582663 | C2 | semidirect |
| 7. C43×#343 | C2 | semidirect |
| 18. #13063241 | C4 | semidirect |
| 106. #343 | D43 | semidirect |
| 108. C43 | #1931 | semidirect |