Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
382 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
| 2. #14583263 | C2 | semidirect |
| 3. #14583245 | C2 | semidirect |
| 4. #14583199 | C2 | semidirect |
| 5. #14583179 | C2 | semidirect |
| 6. #14583096 | C2 | semidirect |
| 7. #14583096 | C2 | semidirect |
| 8. #14583030 | C2 | semidirect |
| 9. #14582999 | C2 | semidirect |
| 10. C4×#10621883 | C2 | semidirect |
| 98. Dic86 | #41 | semidirect |
| 136. C43 | #3368 | semidirect |