Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583380 | C2 | semidirect |
| 3. #14583239 | C2 | semidirect |
| 4. #14583228 | C2 | semidirect |
| 5. #14583221 | C2 | semidirect |
| 6. #14583216 | C2 | semidirect |
| 7. #14582941 | C2 | semidirect |
| 8. C2×#13063256 | C2 | semidirect |
| 9. #14582895 | C2 | semidirect |
| 10. #14582867 | C2 | semidirect |
| 11. C43×#417 | C2 | semidirect |
| 142. #417 | D43 | semidirect |
| 145. C43 | #3099 | semidirect |