Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#13063356 | C2 | semidirect |
| 2. C2×#13063332 | C2 | semidirect |
| 4. #14583155 | C2 | semidirect |
| 5. #14583147 | C2 | semidirect |
| 6. #14583138 | C2 | semidirect |
| 7. #14583130 | C2 | semidirect |
| 8. #14582942 | C2 | semidirect |
| 9. #14582893 | C2 | semidirect |
| 10. C2×#13063249 | C2 | semidirect |
| 11. C43×#536 | C2 | semidirect |
| 79. #10621877 | D4 | semidirect |
| 147. #536 | D43 | semidirect |
| 155. C43 | #3063 | semidirect |