Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
266 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14583135 | C2 | semidirect |
| 3. #14582700 | C2 | semidirect |
| 4. C22⋊(C43⋊C16) | C2 | semidirect |
| 5. C22×D8×C43 | C2 | semidirect |
| 6. C2×D344 | C22 | semidirect |
| 9. C2×C43⋊C16 | C22 | semidirect |
| 10. #13063259 | C22 | semidirect |
| 27. D8×C43 | D4 | semidirect |
| 60. C22×C43 | D16 | semidirect |
| 76. C22×D8 | D43 | semidirect |
| 81. C43 | #2184 | semidirect |
| 104. D8 | C22⋊D43 | semidirect |
| 139. C22 | #13063266 | semidirect |