Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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. C2×#13063354 | C2 | semidirect |
| 2. Q8×D172 | C2 | semidirect |
| 4. #14583279 | C2 | semidirect |
| 5. #14583158 | C2 | semidirect |
| 6. #14583109 | C2 | semidirect |
| 7. #14583104 | C2 | semidirect |
| 8. #14583062 | C2 | semidirect |
| 9. #14583056 | C2 | semidirect |
| 10. #14582978 | C2 | semidirect |
| 11. C4×SD16×C43 | C2 | semidirect |
| 57. SD16×C43 | D4 | semidirect |
| 123. C4×C43 | #137 | semidirect |
| 144. C4×SD16 | D43 | semidirect |
| 146. C43 | #3276 | semidirect |
| 196. SD16 | D172 | semidirect |
| 261. C4 | #13063354 | semidirect |