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. #14583379 | C2 | semidirect |
| 3. C2×#13063251 | C2 | semidirect |
| 4. #14582802 | C2 | semidirect |
| 5. #14582667 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 7. C43×#418 | C2 | semidirect |
| 10. #13063351 | C4 | semidirect |
| 34. C2×D4×C43 | C2×C4 | semidirect |
| 65. #10621877 | C2×C4 | semidirect |
| 95. D172 | C22⋊C4 | semidirect |
| 100. Dic86 | C22⋊C4 | semidirect |
| 136. #418 | D43 | semidirect |
| 140. C43 | #1883 | semidirect |
| 174. C2×D4 | C4×D43 | semidirect |