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×#13063333 | C2 | semidirect |
| 3. #14583473 | C2 | semidirect |
| 4. #14583154 | C2 | semidirect |
| 5. #14583142 | C2 | semidirect |
| 6. #14583137 | C2 | semidirect |
| 7. #14583125 | C2 | semidirect |
| 8. #14582941 | C2 | semidirect |
| 9. #14582895 | C2 | semidirect |
| 10. C2×#13063249 | C2 | semidirect |
| 11. C2×#137×C43 | C2 | semidirect |
| 65. M16×C43 | D4 | semidirect |
| 144. C2×#137 | D43 | semidirect |
| 155. C43 | #3063 | semidirect |
| 210. M16 | C22⋊D43 | semidirect |