Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#13063358 | C2 | semidirect |
| 3. C22×#10621885 | C2 | semidirect |
| 4. #14583473 | C2 | semidirect |
| 5. #14583470 | C2 | semidirect |
| 6. #14583292 | C2 | semidirect |
| 7. #14583290 | C2 | semidirect |
| 8. #14583280 | C2 | semidirect |
| 9. #14583277 | C2 | semidirect |
| 10. #14582857 | C2 | semidirect |
| 11. C2×#137×C43 | C2 | semidirect |
| 145. C2×#137 | D43 | semidirect |
| 155. C43 | #3156 | semidirect |