Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
362 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 3. #14583209 | C2 | semidirect |
| 4. #14583205 | C2 | semidirect |
| 5. #14583193 | C2 | semidirect |
| 6. #14583183 | C2 | semidirect |
| 47. C2×Dic86 | Q8 | semidirect |
| 128. C43 | #3082 | semidirect |