Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
184 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 53 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×#13063271 | C2 | semidirect |
| 2. C2×#13063270 | C2 | semidirect |
| 4. #14583284 | C2 | semidirect |
| 5. #14583282 | C2 | semidirect |
| 6. C16×Dic43 | C2 | semidirect |
| 7. C2×SD32×C43 | C2 | semidirect |
| 78. C2×SD32 | D43 | semidirect |
| 83. C43 | #2249 | semidirect |