Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14583622 | C2 | semidirect |
| 3. #14583246 | C2 | semidirect |
| 4. #14583226 | C2 | semidirect |
| 5. #14583184 | C2 | semidirect |
| 6. #14583131 | C2 | semidirect |
| 7. #14583099 | C2 | semidirect |
| 8. #14583060 | C2 | semidirect |
| 9. C8×D172 | C2 | semidirect |
| 10. #14582894 | C2 | semidirect |
| 11. C4×Q16×C43 | C2 | semidirect |
| 136. C4×Q16 | D43 | semidirect |
| 139. C43 | #3304 | semidirect |