Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14583240 | C2 | semidirect |
| 3. #14583229 | C2 | semidirect |
| 4. #14583223 | C2 | semidirect |
| 5. #14583217 | C2 | semidirect |
| 6. #14582942 | C2 | semidirect |
| 7. C2×#13063256 | C2 | semidirect |
| 8. #14582898 | C2 | semidirect |
| 9. #14582893 | C2 | semidirect |
| 10. #14582866 | C2 | semidirect |
| 11. C43×#520 | C2 | semidirect |
| 135. #520 | D43 | semidirect |
| 145. C43 | #3099 | semidirect |