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×#10621883 | C2 | semidirect |
| 3. #14583037 | C2 | direct (N × H) |
| 4. C2×#13063248 | C2 | semidirect |
| 5. C2×C22⋊(C43⋊C8) | C2 | semidirect |
| 11. C22×Dic86 | C22 | semidirect |
| 14. C2×#10621883 | C22 | semidirect |
| 16. #13063248 | C22 | semidirect |
| 17. C22⋊(C43⋊C8) | C22 | semidirect |
| 47. C2×Dic86 | D4 | semidirect |
| 61. C23×C43 | SD16 | semidirect |
| 82. Dic86 | C2×D4 | semidirect |
| 93. C22×C43 | C2×SD16 | semidirect |
| 104. C2×C43 | #448 | semidirect |
| 114. C43 | C2×#448 | semidirect |
| 169. C23 | #10621883 | semidirect |
| 201. C22 | C2×#10621883 | semidirect |
| 211. C2 | #14583037 | direct (N × H) |