Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583553 | C2 | semidirect |
| 2. #14583245 | C2 | semidirect |
| 3. #14583215 | C2 | semidirect |
| 4. #14583184 | C2 | semidirect |
| 5. #14583150 | C2 | semidirect |
| 6. #14583091 | C2 | semidirect |
| 7. #14583044 | C2 | semidirect |
| 8. C4×#10621884 | C2 | semidirect |
| 9. #14582977 | C2 | semidirect |
| 10. #14582900 | C2 | semidirect |
| 11. C43×#550 | C2 | semidirect |
| 81. Q8×C43 | #41 | semidirect |
| 135. #550 | D43 | semidirect |
| 146. C43 | #3332 | semidirect |
| 217. Q8 | #10621900 | semidirect |