Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13063373 | C2 | semidirect |
| 2. C2×#13063345 | C2 | semidirect |
| 3. #14583477 | C2 | semidirect |
| 4. #14583060 | C2 | semidirect |
| 5. #14583053 | C2 | semidirect |
| 6. #14583043 | C2 | semidirect |
| 7. #14583036 | C2 | semidirect |
| 8. #14582901 | C2 | semidirect |
| 9. C2×#13063249 | C2 | semidirect |
| 10. #14582867 | C2 | semidirect |
| 11. C2×#137×C43 | C2 | semidirect |
| 49. C2×Q8×C43 | D4 | semidirect |
| 71. #10621898 | D4 | semidirect |
| 171. C2×#137 | D43 | semidirect |
| 181. C43 | #3013 | semidirect |
| 233. C2×Q8 | C22⋊D43 | semidirect |