Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
338 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14583301 | C2 | semidirect |
| 4. #14583297 | C2 | semidirect |
| 5. #14583207 | C2 | semidirect |
| 7. #14583195 | C2 | semidirect |
| 11. C8×Q8×C43 | C2 | semidirect |
| 71. #10621873 | Q8 | semidirect |
| 123. C8×Q8 | D43 | semidirect |
| 126. C43 | #3381 | semidirect |