Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
408 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 101 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×#13063240 | C2 | semidirect |
| 2. #14582759 | C2 | semidirect |
| 3. C4×C22⋊Dic43 | C2 | semidirect |
| 12. C22×D4×C43 | C4 | semidirect |
| 19. C2×C4⋊C4×C43 | C4 | semidirect |
| 20. C2×C22⋊C4×C43 | C4 | semidirect |
| 46. C22⋊Dic43 | D4 | semidirect |
| 104. C4×C43 | #99 | semidirect |
| 120. C43 | #1964 | semidirect |
| 121. C22×D4 | Dic43 | semidirect |
| 129. C2×C4⋊C4 | Dic43 | semidirect |
| 132. C2×C22⋊C4 | Dic43 | semidirect |
| 222. C4 | #13063240 | semidirect |