Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
338 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14583628 | C2 | semidirect |
| 3. #14583299 | C2 | semidirect |
| 4. #14583297 | C2 | semidirect |
| 5. #14583204 | C2 | semidirect |
| 7. #14583194 | C2 | semidirect |
| 9. C8×Dic86 | C2 | semidirect |
| 48. SD16×C43 | Q8 | semidirect |
| 126. C43 | #3381 | semidirect |
| 163. SD16 | Dic86 | semidirect |