Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
170 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 47 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×#13063270 | C2 | semidirect |
| 3. #14583282 | C2 | semidirect |
| 4. #14582981 | C2 | semidirect |
| 5. Dic43⋊C16 | C2 | semidirect |
| 6. #14582702 | C2 | semidirect |
| 7. C43×#357 | C2 | semidirect |
| 83. #357 | D43 | semidirect |
| 84. C43 | #2210 | semidirect |