Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
320 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 49 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. #14583489 | C2 | semidirect |
| 2. #14583049 | C2 | semidirect |
| 3. #14583035 | C2 | semidirect |
| 4. #14582809 | C2 | semidirect |
| 5. #14582632 | C2 | semidirect |
| 6. #14582622 | C2 | semidirect |
| 7. C43×#328 | C2 | semidirect |
| 29. C2×Q8×C43 | D4 | semidirect |
| 42. C2×D172 | D4 | semidirect |
| 46. C4⋊C4×C43 | D4 | semidirect |
| 56. C4⋊Dic43 | D4 | semidirect |
| 140. #328 | D43 | semidirect |
| 143. C43 | #1600 | semidirect |
| 165. C2×Q8 | D172 | semidirect |
| 187. C4⋊C4 | D172 | semidirect |