Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13063347 | C2 | semidirect |
| 2. C2×#13063345 | C2 | semidirect |
| 3. #14583445 | C2 | semidirect |
| 4. #14583292 | C2 | semidirect |
| 5. #14583290 | C2 | semidirect |
| 6. #14583287 | C2 | semidirect |
| 7. #14583285 | C2 | semidirect |
| 8. C2×#13063235 | C2 | semidirect |
| 9. C2×#135×C43 | C2 | semidirect |
| 54. C2×C8×C43 | D4 | semidirect |
| 66. C2×C43⋊C8 | D4 | semidirect |
| 119. C2×#135 | D43 | semidirect |
| 126. C43 | #3150 | semidirect |
| 180. C2×C8 | C22⋊D43 | semidirect |