Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
698 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 698 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×#13063373 | C2 | semidirect |
| 2. #14583699 | C2 | semidirect |
| 3. #14583473 | C2 | semidirect |
| 4. #14583084 | C2 | semidirect |
| 5. #14583074 | C2 | semidirect |
| 6. #14582915 | C2 | semidirect |
| 7. C2×#101×C43 | C2 | semidirect |
| 17. #13063358 | C22 | semidirect |
| 19. #13063353 | C22 | semidirect |
| 21. #13063323 | C22 | semidirect |
| 22. #13063314 | C22 | semidirect |
| 26. #13063251 | C22 | semidirect |
| 29. #101×C43 | C22 | semidirect |
| 130. C2×#101 | D43 | semidirect |
| 131. C43 | #3020 | semidirect |
| 153. #101 | C2×D43 | semidirect |