Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
480 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 173 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×#13063325 | C2 | semidirect |
| 3. #14583180 | C2 | direct (N × H) |
| 4. C2×#13063259 | C2 | semidirect |
| 6. C2×C4⋊C8×C43 | C2 | semidirect |
| 11. #13063325 | C22 | semidirect |
| 18. #13063259 | C22 | semidirect |
| 22. C4⋊C8×C43 | C22 | semidirect |
| 31. C2×D172 | Q8 | semidirect |
| 66. D172 | C2×Q8 | semidirect |
| 86. C2×C43 | #474 | semidirect |
| 95. C2×C4⋊C8 | D43 | semidirect |
| 97. C43 | C2×#474 | semidirect |
| 112. C4⋊C8 | C2×D43 | semidirect |
| 177. C2 | #14583180 | direct (N × H) |