Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
332 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. C2×#13063332 | C2 | semidirect |
| 3. C2×#13063245 | C2 | semidirect |
| 4. C2×#13063241 | C2 | semidirect |
| 5. #14582668 | C2 | semidirect |
| 6. #14582663 | C2 | semidirect |
| 7. C43×#417 | C2 | semidirect |
| 10. #13063350 | C4 | semidirect |
| 126. #417 | D43 | semidirect |
| 131. C43 | #1907 | semidirect |