Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
216 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 216 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. #14582947 | C2 | semidirect |
| 5. #14582671 | C2 | semidirect |
| 6. #14582659 | C2 | semidirect |
| 7. C4×M16×C43 | C2 | semidirect |
| 16. #13063243 | C4 | semidirect |
| 17. #13063241 | C4 | semidirect |
| 100. C4×M16 | D43 | semidirect |
| 103. C43 | #1932 | semidirect |