Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
848 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 848 conjugacy classes of subgroups — too many to draw. Only its 125 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×#13063247 | C2 | semidirect |
| 3. C2×#13063246 | C2 | semidirect |
| 4. C2×#13063245 | C2 | semidirect |
| 5. C2×(C2×D43)⋊C8 | C2 | semidirect |
| 6. #14582756 | C2 | semidirect |
| 7. C2×#102×C43 | C2 | semidirect |
| 16. C2×D4×D43 | C4 | semidirect |
| 18. C22×C43⋊C8 | C22 | semidirect |
| 19. C2×C4⋊Dic43 | C22 | semidirect |
| 27. C22×C8×C43 | C22 | semidirect |
| 28. C2×C4⋊C4×C43 | C22 | semidirect |
| 112. D4×C43 | C22⋊C4 | semidirect |
| 132. D172 | C22⋊C4 | semidirect |
| 167. C2×D43 | #102 | semidirect |
| 190. C2×#102 | D43 | semidirect |
| 193. C43 | #1786 | semidirect |
| 206. C22×C8 | C2×D43 | semidirect |
| 208. C2×C4⋊C4 | C2×D43 | semidirect |
| 303. D4 | (C2×D43)⋊C4 | semidirect |