Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14583521 | C2 | semidirect |
| 2. #14583303 | C2 | semidirect |
| 3. #14583284 | C2 | semidirect |
| 4. #14583260 | C2 | semidirect |
| 5. #14583148 | C2 | semidirect |
| 6. #14583137 | C2 | semidirect |
| 8. #14582997 | C2 | semidirect |
| 9. C4×D344 | C2 | semidirect |
| 10. #14582853 | C2 | semidirect |
| 11. C4×Q16×C43 | C2 | semidirect |
| 126. C4×Q16 | D43 | semidirect |
| 129. C43 | #3175 | semidirect |