Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
520 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 145 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. C22×C8×D43 | C2 | semidirect |
| 3. #14583411 | C2 | semidirect |
| 4. #14583141 | C2 | semidirect |
| 5. #14583136 | C2 | semidirect |
| 6. #14583129 | C2 | semidirect |
| 7. #14582893 | C2 | semidirect |
| 8. C43×#427 | C2 | semidirect |
| 12. C2×Dic172 | C22 | semidirect |
| 13. C2×#10621873 | C22 | semidirect |
| 14. C2×D344 | C22 | semidirect |
| 24. #13063248 | C22 | semidirect |
| 25. #13063245 | C22 | semidirect |
| 28. #107×C43 | C22 | semidirect |
| 29. #106×C43 | C22 | semidirect |
| 44. C2×C8×C43 | D4 | semidirect |
| 94. C2×D43 | #135 | semidirect |
| 113. #427 | D43 | semidirect |
| 115. C43 | #3050 | semidirect |
| 133. #107 | C2×D43 | semidirect |
| 134. #106 | C2×D43 | semidirect |
| 158. C2×C8 | D172 | semidirect |