Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
738 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 157 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. C23×Dic86 | C2 | semidirect |
| 2. C2×#13063355 | C2 | semidirect |
| 3. #14583054 | C2 | semidirect |
| 4. #14583037 | C2 | semidirect |
| 5. #14582907 | C2 | semidirect |
| 6. #14582863 | C2 | semidirect |
| 15. C2×#10621885 | C22 | semidirect |
| 16. C2×#10621883 | C22 | semidirect |
| 18. #13063248 | C22 | semidirect |
| 49. C2×Dic86 | D4 | semidirect |
| 95. C22×C43 | #137 | semidirect |
| 116. C43 | #3004 | semidirect |
| 204. C22 | #13063355 | semidirect |