Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
544 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 181 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 |
|---|---|---|
| 2. C2×#13063325 | C2 | semidirect |
| 3. #14583104 | C2 | direct (N × H) |
| 4. C2×C4⋊(C43⋊C8) | C2 | semidirect |
| 5. C2×#13063248 | C2 | semidirect |
| 12. #13063325 | C22 | semidirect |
| 15. C4⋊(C43⋊C8) | C22 | semidirect |
| 16. #13063248 | C22 | semidirect |
| 62. C2×C4×C43 | SD16 | semidirect |
| 86. C4×C43 | C2×SD16 | semidirect |
| 92. C2×C43 | #461 | semidirect |
| 102. C43 | C2×#461 | semidirect |
| 163. C2×C4 | #10621883 | semidirect |
| 183. C4 | C2×#10621883 | semidirect |
| 187. C2 | #14583104 | direct (N × H) |