Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
438 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 103 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×C4×D172 | C2 | semidirect |
| 3. C2×#13063247 | C2 | semidirect |
| 4. C2×#13063247 | C2 | semidirect |
| 5. #14582801 | C2 | semidirect |
| 6. #14582662 | C2 | semidirect |
| 7. C43×#336 | C2 | semidirect |
| 13. C2×D344 | C4 | semidirect |
| 42. C2×D172 | C2×C4 | semidirect |
| 53. C2×C8×C43 | C2×C4 | semidirect |
| 84. C2×C4×C43 | D8 | semidirect |
| 104. D172 | C22⋊C4 | semidirect |
| 153. #336 | D43 | semidirect |
| 154. C43 | #1879 | semidirect |
| 201. C2×C8 | C4×D43 | semidirect |
| 246. C2×C4 | D344 | semidirect |