Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
266 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 53 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×D8×D43 | C2 | semidirect |
| 2. C2×#13063266 | C2 | semidirect |
| 3. #14583132 | C2 | semidirect |
| 4. #14582701 | C2 | semidirect |
| 5. #14582700 | C2 | semidirect |
| 6. (C2×D43)⋊C16 | C2 | semidirect |
| 7. C2×D16×C43 | C2 | semidirect |
| 16. C2×C43⋊C16 | C22 | semidirect |
| 17. #13063259 | C22 | semidirect |
| 20. C2×D8×C43 | C22 | semidirect |
| 22. C2×C16×C43 | C22 | semidirect |
| 35. D8×C43 | D4 | semidirect |
| 42. D344 | D4 | semidirect |
| 83. C2×D43 | D16 | semidirect |
| 98. C2×D16 | D43 | semidirect |
| 103. C43 | #2184 | semidirect |
| 110. C2×D8 | C2×D43 | semidirect |
| 116. C2×C16 | C2×D43 | semidirect |
| 134. D8 | C22⋊D43 | semidirect |