Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
424 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 424 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 |
|---|---|---|
| 2. C2×Q8×Dic43 | C2 | semidirect |
| 3. #14583213 | C2 | semidirect |
| 4. #14583210 | C2 | semidirect |
| 5. #14583192 | C2 | semidirect |
| 6. #14583097 | C2 | semidirect |
| 7. #14583038 | C2 | semidirect |
| 8. #14583002 | C2 | semidirect |
| 9. #14583000 | C2 | semidirect |
| 10. #14582953 | C2 | semidirect |
| 11. C43×#448 | C2 | semidirect |
| 87. Q8×C43 | #41 | semidirect |
| 148. #448 | D43 | semidirect |
| 152. C43 | #3112 | semidirect |
| 229. Q8 | #10621900 | semidirect |