Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
296 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14582927 | C2 | semidirect |
| 3. #14582905 | C2 | semidirect |
| 4. #14582904 | C2 | semidirect |
| 5. C2×#13063241 | C2 | semidirect |
| 6. #14582663 | C2 | semidirect |
| 7. C2×#100×C43 | C2 | semidirect |
| 111. C2×#100 | D43 | semidirect |
| 113. C43 | #2045 | semidirect |