Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
726 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 253 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. #14583382 | C2 | semidirect |
| 3. #14582909 | C2 | semidirect |
| 4. #14582901 | C2 | semidirect |
| 5. #14582896 | C2 | semidirect |
| 6. C2×#13063250 | C2 | semidirect |
| 7. C2×#131×C43 | C2 | semidirect |
| 9. #13063372 | C4 | semidirect |
| 38. #10621898 | C2×C4 | semidirect |
| 43. C2×Dic86 | C2×C4 | semidirect |
| 96. C2×#131 | D43 | semidirect |
| 102. C43 | #2898 | semidirect |