Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
198 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 198 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×#13063268 | C2 | semidirect |
| 2. C2×D688 | C2 | semidirect |
| 3. C2×#13063266 | C2 | semidirect |
| 4. #14583284 | C2 | semidirect |
| 5. #14583274 | C2 | semidirect |
| 6. #14582674 | C2 | semidirect |
| 7. C2×SD32×C43 | C2 | semidirect |
| 42. C16×C43 | D4 | semidirect |
| 43. C43⋊C16 | D4 | semidirect |
| 80. C2×SD32 | D43 | semidirect |
| 86. C43 | #2250 | semidirect |
| 122. C16 | C22⋊D43 | semidirect |