Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
474 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 1. C22×#10621884 | C2 | semidirect |
| 3. C2×#13063247 | C2 | semidirect |
| 4. C2×#13063246 | C2 | semidirect |
| 5. #14582806 | C2 | semidirect |
| 6. #14582653 | C2 | semidirect |
| 7. C22×SD16×C43 | C2 | semidirect |
| 34. C2×Q8×C43 | D4 | semidirect |
| 57. C2×C8×C43 | D4 | semidirect |
| 65. C2×C43⋊C8 | D4 | semidirect |
| 99. C2×Dic43 | SD16 | semidirect |
| 137. C22×SD16 | D43 | semidirect |
| 143. C43 | #2014 | semidirect |
| 170. C2×Q8 | C22⋊D43 | semidirect |
| 197. C2×C8 | C22⋊D43 | semidirect |