Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
142 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14583304 | C2 | semidirect |
| 2. #14582724 | C2 | semidirect |
| 3. C4⋊(C43⋊C16) | C2 | semidirect |
| 19. D8×C43 | Q8 | semidirect |
| 61. C43 | #2224 | semidirect |
| 75. D8 | Dic86 | semidirect |