Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 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×#13063351 | C2 | semidirect |
| 2. C2×#13063331 | C2 | semidirect |
| 3. #14583166 | C2 | direct (N × H) |
| 4. C2×#13063261 | C2 | semidirect |
| 5. C2×#13063242 | C2 | semidirect |
| 6. C22×D8×C43 | C2 | semidirect |
| 9. #13063351 | C22 | semidirect |
| 13. #13063331 | C22 | semidirect |
| 18. #13063261 | C22 | semidirect |
| 19. #13063242 | C22 | semidirect |
| 24. C2×D8×C43 | C22 | semidirect |
| 106. C2×C43 | #472 | semidirect |
| 110. C22×D8 | D43 | semidirect |
| 115. C43 | C2×#472 | semidirect |
| 125. C2×D8 | C2×D43 | semidirect |
| 215. C2 | #14583166 | direct (N × H) |