Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
792 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 792 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 |
|---|---|---|
| 1. C23×Dic86 | C2 | semidirect |
| 2. C22×#10621873 | C2 | semidirect |
| 4. #14583040 | C2 | direct (N × H) |
| 5. C2×#13063250 | C2 | semidirect |
| 6. C2×C22⋊C8×C43 | C2 | semidirect |
| 11. C22×Dic86 | C22 | semidirect |
| 16. C2×#10621873 | C22 | semidirect |
| 21. #13063250 | C22 | semidirect |
| 24. C22⋊C8×C43 | C22 | semidirect |
| 47. C2×Dic86 | D4 | semidirect |
| 57. C23×C43 | SD16 | semidirect |
| 82. Dic86 | C2×D4 | semidirect |
| 89. C22×C43 | C2×SD16 | semidirect |
| 103. C2×C43 | #448 | semidirect |
| 113. C2×C22⋊C8 | D43 | semidirect |
| 114. C43 | C2×#448 | semidirect |
| 132. C22⋊C8 | C2×D43 | semidirect |
| 169. C23 | #10621873 | semidirect |
| 201. C22 | C2×#10621873 | semidirect |
| 211. C2 | #14583040 | direct (N × H) |