Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
426 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 426 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 |
|---|---|---|
| 1. C22×#10621884 | C2 | semidirect |
| 3. C2×#13063314 | C2 | semidirect |
| 4. C2×#13063245 | C2 | semidirect |
| 5. #14582800 | C2 | semidirect |
| 6. #14582653 | C2 | semidirect |
| 7. C2×#103×C43 | C2 | semidirect |
| 137. C2×#103 | D43 | semidirect |
| 141. C43 | #2012 | semidirect |