Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
300 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 93 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×#13063261 | C2 | semidirect |
| 3. C2×#13063253 | C2 | semidirect |
| 4. #14582865 | C2 | semidirect |
| 5. C2×C4×C8×C43 | C2 | semidirect |
| 9. C2×Dic172 | C4 | semidirect |
| 10. C2×#10621873 | C4 | semidirect |
| 11. C2×D344 | C4 | semidirect |
| 90. C2×C4×C8 | D43 | semidirect |
| 91. C43 | #1974 | semidirect |