Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
372 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 109 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×Dic43⋊C8 | C2 | semidirect |
| 5. #14582768 | C2 | semidirect |
| 6. #14582661 | C2 | semidirect |
| 7. C43×#340 | C2 | semidirect |
| 12. #13063287 | C4 | semidirect |
| 89. D172 | C4⋊C4 | semidirect |
| 115. Dic43 | #102 | semidirect |
| 131. #340 | D43 | semidirect |
| 132. C43 | #1802 | semidirect |