Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
382 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 75 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×#13063350 | C2 | semidirect |
| 2. C22×#10621882 | C2 | semidirect |
| 3. C2×#13063242 | C2 | semidirect |
| 4. C2×#13063241 | C2 | semidirect |
| 5. #14582866 | C2 | semidirect |
| 6. #14582663 | C2 | semidirect |
| 7. C2×AGL(1,ℤ/8)×C43 | C2 | semidirect |
| 134. C2×AGL(1,ℤ/8) | D43 | semidirect |
| 140. C43 | #2018 | semidirect |