Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
230 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 57 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×#13063268 | C2 | semidirect |
| 2. C2×#13063266 | C2 | semidirect |
| 3. #14583135 | C2 | semidirect |
| 4. #14582703 | C2 | semidirect |
| 5. #14582700 | C2 | semidirect |
| 6. C22⋊(C43⋊C16) | C2 | semidirect |
| 7. C2×#135×C43 | C2 | semidirect |
| 33. Q16×C43 | D4 | semidirect |
| 36. D8×C43 | D4 | semidirect |
| 90. C2×#135 | D43 | semidirect |
| 97. C43 | #2186 | semidirect |
| 123. Q16 | C22⋊D43 | semidirect |
| 128. D8 | C22⋊D43 | semidirect |