Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
336 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 336 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. #14583627 | C2 | semidirect |
| 3. #14583249 | C2 | semidirect |
| 4. #14583206 | C2 | semidirect |
| 7. #14583106 | C2 | semidirect |
| 8. Q8×C43⋊C8 | C2 | semidirect |
| 9. C4×#10621885 | C2 | semidirect |
| 127. C43 | #3364 | semidirect |