Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
438 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 101 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×#13063287 | C2 | semidirect |
| 3. C2×#13063245 | C2 | semidirect |
| 4. C2×#13063245 | C2 | semidirect |
| 5. #14582800 | C2 | semidirect |
| 6. #14582653 | C2 | semidirect |
| 7. C43×#340 | C2 | semidirect |
| 13. C2×D344 | C4 | semidirect |
| 42. C2×D172 | C2×C4 | semidirect |
| 50. C2×C8×C43 | C2×C4 | semidirect |
| 96. C2×Dic43 | D8 | semidirect |
| 104. D172 | C22⋊C4 | semidirect |
| 152. #340 | D43 | semidirect |
| 154. C43 | #1879 | semidirect |
| 201. C2×C8 | C4×D43 | semidirect |