Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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. #14582937 | C2 | semidirect |
| 3. #14582727 | C2 | semidirect |
| 4. #14582725 | C2 | semidirect |
| 5. #14582701 | C2 | semidirect |
| 6. #14582701 | C2 | semidirect |
| 7. C43×C22⋊C16 | C2 | semidirect |
| 76. C22⋊C16 | D43 | semidirect |
| 77. C43 | #2234 | semidirect |