Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
708 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13063358 | C2 | semidirect |
| 3. C2×#13063323 | C2 | semidirect |
| 4. #14583084 | C2 | direct (N × H) |
| 5. C2×#13063251 | C2 | semidirect |
| 6. C2×#101×C43 | C2 | semidirect |
| 16. #13063358 | C22 | semidirect |
| 20. #13063323 | C22 | semidirect |
| 23. #13063251 | C22 | semidirect |
| 26. #101×C43 | C22 | semidirect |
| 110. C2×C43 | #456 | semidirect |
| 118. C2×#101 | D43 | semidirect |
| 119. C43 | C2×#456 | semidirect |
| 139. #101 | C2×D43 | semidirect |
| 223. C2 | #14583084 | direct (N × H) |