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×D688 | C2 | semidirect |
| 3. C2×#13063266 | C2 | semidirect |
| 4. #14583136 | C2 | semidirect |
| 5. #14582699 | C2 | semidirect |
| 6. (C2×D43)⋊C16 | C2 | semidirect |
| 7. C43×#357 | C2 | semidirect |
| 10. C2×D344 | C22 | semidirect |
| 18. C2×C43⋊C16 | C22 | semidirect |
| 21. C2×C16×C43 | C22 | semidirect |
| 22. #107×C43 | C22 | semidirect |
| 33. D8×C43 | D4 | semidirect |
| 42. D344 | D4 | semidirect |
| 83. C2×D43 | D16 | semidirect |
| 101. #357 | D43 | semidirect |
| 103. C43 | #2184 | semidirect |
| 116. C2×C16 | C2×D43 | semidirect |
| 117. #107 | C2×D43 | semidirect |
| 134. D8 | D172 | semidirect |