Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
406 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 95 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×#13063323 | C2 | semidirect |
| 3. C2×#13063250 | C2 | semidirect |
| 4. C2×#13063249 | C2 | semidirect |
| 6. #14582653 | C2 | semidirect |
| 95. C2×Dic43 | SD16 | semidirect |
| 134. C43 | #2013 | semidirect |