Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
364 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14583614 | C2 | semidirect |
| 2. #14583302 | C2 | semidirect |
| 3. #14583223 | C2 | semidirect |
| 4. #14583220 | C2 | semidirect |
| 5. #14583189 | C2 | semidirect |
| 6. #14583186 | C2 | semidirect |
| 7. #14583133 | C2 | semidirect |
| 8. C4×#10621882 | C2 | semidirect |
| 9. D4×C43⋊C8 | C2 | semidirect |
| 10. #14582935 | C2 | semidirect |
| 11. C43×#555 | C2 | semidirect |
| 127. #555 | D43 | semidirect |
| 137. C43 | #3341 | semidirect |