Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
426 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 1. #14583570 | C2 | semidirect |
| 2. D4×Dic86 | C2 | semidirect |
| 3. #14583246 | C2 | semidirect |
| 4. #14583244 | C2 | semidirect |
| 5. #14583179 | C2 | semidirect |
| 6. #14583178 | C2 | semidirect |
| 7. #14583094 | C2 | semidirect |
| 8. #14583092 | C2 | semidirect |
| 9. C8×Dic86 | C2 | semidirect |
| 10. #14582979 | C2 | semidirect |
| 11. C4×D8×C43 | C2 | semidirect |
| 81. D4×C43 | #41 | semidirect |
| 102. Dic86 | D8 | semidirect |
| 142. C4×D8 | D43 | semidirect |
| 143. C43 | #3358 | semidirect |
| 222. D4 | #10621898 | semidirect |