Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
362 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#13063258 | C2 | semidirect |
| 5. #14582661 | C2 | semidirect |
| 6. #14582654 | C2 | semidirect |
| 7. C43×#389 | C2 | semidirect |
| 18. #13063245 | C4 | semidirect |
| 44. C4⋊C4×C43 | C2×C4 | semidirect |
| 55. C2×C43⋊C8 | C2×C4 | semidirect |
| 88. D172 | C4⋊C4 | semidirect |
| 128. #389 | D43 | semidirect |
| 131. C43 | #1862 | semidirect |
| 176. C4⋊C4 | C4×D43 | semidirect |