Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14583410 | C2 | semidirect |
| 2. #14583241 | C2 | semidirect |
| 3. #14583224 | C2 | semidirect |
| 4. #14583140 | C2 | semidirect |
| 5. #14583135 | C2 | semidirect |
| 6. #14583128 | C2 | semidirect |
| 7. #14583063 | C2 | semidirect |
| 8. #14583046 | C2 | semidirect |
| 9. C2×C22⋊C8×C43 | C2 | semidirect |
| 11. C2×Dic172 | C22 | semidirect |
| 12. C2×#10621873 | C22 | semidirect |
| 13. C2×D344 | C22 | semidirect |
| 23. #13063259 | C22 | semidirect |
| 24. #13063259 | C22 | semidirect |
| 25. #13063257 | C22 | semidirect |
| 26. #13063250 | C22 | semidirect |
| 27. #13063250 | C22 | semidirect |
| 28. #13063247 | C22 | semidirect |
| 29. #13063247 | C22 | semidirect |
| 130. C2×C22⋊C8 | D43 | semidirect |
| 131. C43 | #3191 | semidirect |