Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
216 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 216 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×D688 | C2 | semidirect |
| 2. C2×#13063266 | C2 | semidirect |
| 3. #14583274 | C2 | semidirect |
| 4. C16×Dic43 | C2 | semidirect |
| 5. C2×D16×C43 | C2 | semidirect |
| 27. C16×C43 | D4 | semidirect |
| 28. C43⋊C16 | D4 | semidirect |
| 48. Dic43 | D16 | semidirect |
| 56. C2×D16 | D43 | semidirect |
| 59. C43 | #2246 | semidirect |
| 82. C16 | C22⋊D43 | semidirect |