Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14583713 | C2 | semidirect |
| 2. #14583712 | C2 | semidirect |
| 3. #14583342 | C2 | semidirect |
| 4. #14583341 | C2 | semidirect |
| 5. #14583338 | C2 | semidirect |
| 6. #14583330 | C2 | semidirect |
| 7. #14583329 | C2 | semidirect |
| 8. C2×#13063271 | C2 | semidirect |
| 9. Q32×D43 | C2 | semidirect |
| 10. #14583317 | C2 | semidirect |
| 11. C43×#510 | C2 | semidirect |
| 129. #510 | D43 | semidirect |
| 135. C43 | #3417 | semidirect |