Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
132 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 45 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. #14582724 | C2 | semidirect |
| 4. #14582704 | C2 | semidirect |
| 5. #14582702 | C2 | semidirect |
| 7. C43×#367 | C2 | semidirect |
| 68. #367 | D43 | semidirect |
| 73. C43 | #2237 | semidirect |