Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
716 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 209 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 |
|---|---|---|
| 2. #14583376 | C2 | semidirect |
| 3. #14582873 | C2 | semidirect |
| 4. #14582872 | C2 | semidirect |
| 5. #14582871 | C2 | semidirect |
| 6. C43×#410 | C2 | semidirect |
| 9. C2×#10621898 | C4 | semidirect |
| 11. C2×#10621900 | C4 | semidirect |
| 13. C22×Dic86 | C4 | semidirect |
| 15. C2×Q8×D43 | C4 | semidirect |
| 119. #410 | D43 | semidirect |
| 120. C43 | #2884 | semidirect |