Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
520 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 157 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. #14583410 | C2 | semidirect |
| 3. #14583140 | C2 | semidirect |
| 4. #14583135 | C2 | semidirect |
| 5. #14583128 | C2 | semidirect |
| 6. #14582937 | C2 | semidirect |
| 7. #14582896 | C2 | semidirect |
| 8. C23×C8×C43 | C2 | semidirect |
| 11. C2×Dic172 | C22 | semidirect |
| 12. C2×#10621873 | C22 | semidirect |
| 13. C2×D344 | C22 | semidirect |
| 20. #13063259 | C22 | semidirect |
| 21. #13063257 | C22 | semidirect |
| 22. #13063250 | C22 | semidirect |
| 23. #13063247 | C22 | semidirect |
| 47. C2×C8×C43 | D4 | semidirect |
| 91. C22×C43 | #135 | semidirect |
| 108. C23×C8 | D43 | semidirect |
| 115. C43 | #3050 | semidirect |
| 157. C2×C8 | C22⋊D43 | semidirect |
| 200. C22 | #13063347 | semidirect |