Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
186 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 51 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×#13063266 | C2 | semidirect |
| 2. #14583274 | C2 | semidirect |
| 3. D8×Dic43 | C2 | semidirect |
| 4. Dic43⋊C16 | C2 | semidirect |
| 5. #14582701 | C2 | semidirect |
| 6. #14582700 | C2 | semidirect |
| 7. C2×D16×C43 | C2 | semidirect |
| 30. D8×C43 | D4 | semidirect |
| 74. Dic43 | D16 | semidirect |
| 83. C2×D16 | D43 | semidirect |
| 89. C43 | #2206 | semidirect |
| 115. D8 | C22⋊D43 | semidirect |