Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
220 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×#13063265 | C2 | semidirect |
| 2. C2×#13063265 | C2 | semidirect |
| 3. #14582683 | C2 | semidirect |
| 8. #13063265 | C22 | semidirect |
| 10. C2×C43⋊C16 | C22 | semidirect |
| 87. C43 | #2117 | semidirect |