Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
756 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 213 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×M16×D43 | C2 | semidirect |
| 3. #14582880 | C2 | direct (N × H) |
| 4. C2×#13063243 | C2 | semidirect |
| 5. C2×#13063242 | C2 | semidirect |
| 6. C2×#100×C43 | C2 | semidirect |
| 19. M16×D43 | C22 | semidirect |
| 21. #13063243 | C22 | semidirect |
| 22. #13063242 | C22 | semidirect |
| 25. #100×C43 | C22 | semidirect |
| 117. C2×C43 | #413 | semidirect |
| 125. C2×#100 | D43 | semidirect |
| 126. C43 | C2×#413 | semidirect |
| 145. #100 | C2×D43 | semidirect |
| 237. C2 | #14582880 | direct (N × H) |