Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 3. #14583243 | C2 | semidirect |
| 4. #14583242 | C2 | semidirect |
| 5. #14583236 | C2 | semidirect |
| 6. #14583231 | C2 | semidirect |
| 7. #14582942 | C2 | semidirect |
| 8. #14582907 | C2 | semidirect |
| 9. C2×#13063250 | C2 | semidirect |
| 11. C43×#427 | C2 | semidirect |
| 134. #427 | D43 | semidirect |
| 138. C43 | #3097 | semidirect |