Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
420 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 420 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. #14583554 | C2 | semidirect |
| 2. #14583251 | C2 | semidirect |
| 3. #14583234 | C2 | semidirect |
| 4. #14583176 | C2 | semidirect |
| 5. #14583143 | C2 | semidirect |
| 6. #14583104 | C2 | semidirect |
| 7. #14583042 | C2 | semidirect |
| 8. C4×#10621882 | C2 | semidirect |
| 9. #14582977 | C2 | semidirect |
| 10. #14582898 | C2 | semidirect |
| 11. C43×#547 | C2 | semidirect |
| 99. D172 | #41 | semidirect |
| 134. #547 | D43 | semidirect |
| 144. C43 | #3330 | semidirect |