Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
396 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583571 | C2 | semidirect |
| 2. #14583265 | C2 | semidirect |
| 3. #14583247 | C2 | semidirect |
| 4. #14583196 | C2 | semidirect |
| 5. #14583186 | C2 | semidirect |
| 6. #14583094 | C2 | semidirect |
| 7. #14583094 | C2 | semidirect |
| 8. #14583030 | C2 | semidirect |
| 9. #14583009 | C2 | semidirect |
| 10. C4×#10621882 | C2 | semidirect |
| 11. C43×#554 | C2 | semidirect |
| 80. D4×C43 | #41 | semidirect |
| 130. #554 | D43 | semidirect |
| 141. C43 | #3366 | semidirect |
| 218. D4 | #10621902 | semidirect |