Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
848 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 848 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 |
|---|---|---|
| 2. C2×#13063247 | C2 | semidirect |
| 3. #14582759 | C2 | semidirect |
| 4. C2×C22⋊C8×C43 | C2 | semidirect |
| 9. C22×D172 | C4 | semidirect |
| 11. C2×C4⋊Dic43 | C22 | semidirect |
| 16. C22×C8×C43 | C22 | semidirect |
| 72. D172 | C22⋊C4 | semidirect |
| 78. C22×C43 | #102 | semidirect |
| 104. C2×C22⋊C8 | D43 | semidirect |
| 106. C43 | #1786 | semidirect |
| 114. C22×C8 | C2×D43 | semidirect |
| 186. C22 | #13063247 | semidirect |