Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14583380 | C2 | semidirect |
| 3. C2×#13063251 | C2 | semidirect |
| 4. #14582905 | C2 | semidirect |
| 5. #14582800 | C2 | semidirect |
| 6. #14582660 | C2 | semidirect |
| 7. C43×#343 | C2 | semidirect |
| 11. #13063353 | C4 | semidirect |
| 42. C2×D172 | C2×C4 | semidirect |
| 50. M16×C43 | C2×C4 | semidirect |
| 95. D172 | C22⋊C4 | semidirect |
| 100. Dic86 | C22⋊C4 | semidirect |
| 138. #343 | D43 | semidirect |
| 140. C43 | #1883 | semidirect |
| 185. M16 | C4×D43 | semidirect |