Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13063331 | C2 | semidirect |
| 2. #14583466 | C2 | semidirect |
| 3. #14583149 | C2 | semidirect |
| 4. #14583132 | C2 | semidirect |
| 5. #14582937 | C2 | semidirect |
| 6. #14582904 | C2 | semidirect |
| 7. C22×D8×C43 | C2 | semidirect |
| 11. C2×#10621872 | C22 | semidirect |
| 12. C2×C8×D43 | C22 | semidirect |
| 15. #13063296 | C22 | semidirect |
| 18. #13063259 | C22 | semidirect |
| 19. #13063257 | C22 | semidirect |
| 20. #13063246 | C22 | semidirect |
| 41. C2×C8×C43 | D4 | semidirect |
| 94. C22×D8 | D43 | semidirect |
| 101. C43 | #3058 | semidirect |
| 139. C2×C8 | C22⋊D43 | semidirect |