Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. #14583206 | C2 | semidirect |
| 3. #14583191 | C2 | semidirect |
| 4. #14583186 | C2 | semidirect |
| 5. #14583155 | C2 | semidirect |
| 7. #14583121 | C2 | semidirect |
| 8. #14583106 | C2 | semidirect |
| 9. #14583101 | C2 | semidirect |
| 10. #14582923 | C2 | semidirect |
| 11. C43×#533 | C2 | semidirect |
| 134. #533 | D43 | semidirect |
| 145. C43 | #3252 | semidirect |