Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
328 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14582625 | C2 | direct (N × H) |
| 22. C22×C4×C43 | C8 | semidirect |
| 53. C2×C4×C43 | C2×C8 | semidirect |
| 77. C2×C43 | #324 | semidirect |
| 84. C43 | C2×#324 | semidirect |
| 103. C22×C4 | C43⋊C8 | semidirect |
| 133. C2×C4 | C2×C43⋊C8 | semidirect |
| 157. C2 | #14582625 | direct (N × H) |