Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
368 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#13063316 | C2 | semidirect |
| 3. #14583307 | C2 | semidirect |
| 4. #14583262 | C2 | semidirect |
| 5. #14583218 | C2 | semidirect |
| 6. #14583215 | C2 | semidirect |
| 7. #14583212 | C2 | semidirect |
| 8. #14583202 | C2 | semidirect |
| 9. #14583201 | C2 | semidirect |
| 10. #14582953 | C2 | semidirect |
| 11. C43×#480 | C2 | semidirect |
| 142. #480 | D43 | semidirect |
| 146. C43 | #3234 | semidirect |