Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14583193 | C2 | semidirect |
| 3. #14583192 | C2 | semidirect |
| 6. #14583108 | C2 | semidirect |
| 7. #14583107 | C2 | semidirect |
| 76. C2×Dic43 | Q16 | semidirect |
| 112. C43 | #3249 | semidirect |