Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
224 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×#13063265 | C2 | semidirect |
| 2. #14582937 | C2 | semidirect |
| 3. #14582709 | C2 | semidirect |
| 7. #13063265 | C22 | semidirect |
| 10. #13063257 | C22 | semidirect |
| 14. #135×C43 | C4 | semidirect |
| 16. C2×Q16×C43 | C4 | semidirect |
| 18. C2×D8×C43 | C4 | semidirect |
| 89. C43 | #2145 | semidirect |
| 93. #135 | Dic43 | semidirect |
| 95. C2×Q16 | Dic43 | semidirect |
| 97. C2×D8 | Dic43 | semidirect |