Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
544 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 544 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 |
|---|---|---|
| 3. #14583101 | C2 | direct (N × H) |
| 4. C2×C4⋊(C43⋊C8) | C2 | semidirect |
| 5. C2×#13063249 | C2 | semidirect |
| 6. C2×C4⋊Q8×C43 | C2 | semidirect |
| 16. C4⋊(C43⋊C8) | C22 | semidirect |
| 17. #13063249 | C22 | semidirect |
| 20. C4⋊Q8×C43 | C22 | semidirect |
| 61. C2×C4×C43 | SD16 | semidirect |
| 86. C4×C43 | C2×SD16 | semidirect |
| 91. C2×C43 | #461 | semidirect |
| 97. C2×C4⋊Q8 | D43 | semidirect |
| 102. C43 | C2×#461 | semidirect |
| 110. C4⋊Q8 | C2×D43 | semidirect |
| 163. C2×C4 | #10621884 | semidirect |
| 183. C4 | C2×#10621884 | semidirect |
| 187. C2 | #14583101 | direct (N × H) |