Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
390 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 119 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×#13063290 | C2 | semidirect |
| 3. #14583229 | C2 | semidirect |
| 4. #14583205 | C2 | semidirect |
| 5. #14583120 | C2 | semidirect |
| 6. #14583057 | C2 | semidirect |
| 8. #14582993 | C2 | semidirect |
| 9. #14582990 | C2 | semidirect |
| 10. #14582949 | C2 | semidirect |
| 143. C43 | #3108 | semidirect |