Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
408 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14583614 | C2 | semidirect |
| 2. #14583570 | C2 | semidirect |
| 3. #14583246 | C2 | semidirect |
| 4. #14583224 | C2 | semidirect |
| 5. #14583195 | C2 | semidirect |
| 6. #14583135 | C2 | semidirect |
| 7. #14583095 | C2 | semidirect |
| 8. #14583046 | C2 | semidirect |
| 9. C4×#10621873 | C2 | semidirect |
| 10. #14582896 | C2 | semidirect |
| 11. C8×D4×C43 | C2 | semidirect |
| 142. C8×D4 | D43 | semidirect |
| 144. C43 | #3305 | semidirect |