Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
420 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 137 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×#13063284 | C2 | semidirect |
| 3. #14583241 | C2 | semidirect |
| 4. #14583235 | C2 | semidirect |
| 5. #14583230 | C2 | semidirect |
| 6. #14583224 | C2 | semidirect |
| 7. #14583218 | C2 | semidirect |
| 8. #14583213 | C2 | semidirect |
| 9. #14582937 | C2 | semidirect |
| 10. #14582896 | C2 | semidirect |
| 11. C2×C22⋊C8×C43 | C2 | semidirect |
| 30. #13063259 | C22 | semidirect |
| 31. #13063259 | C22 | semidirect |
| 32. #13063257 | C22 | semidirect |
| 33. #13063257 | C22 | semidirect |
| 34. #13063250 | C22 | semidirect |
| 35. #13063250 | C22 | semidirect |
| 36. #13063247 | C22 | semidirect |
| 37. #13063247 | C22 | semidirect |
| 154. C2×C22⋊C8 | D43 | semidirect |
| 155. C43 | #3091 | semidirect |