Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
472 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#10621885 | C2 | semidirect |
| 3. #14583278 | C2 | semidirect |
| 4. #14583138 | C2 | semidirect |
| 5. #14583109 | C2 | semidirect |
| 6. #14583106 | C2 | semidirect |
| 7. #14583055 | C2 | semidirect |
| 8. #14583054 | C2 | semidirect |
| 9. C4×#10621885 | C2 | semidirect |
| 71. #10621885 | D4 | direct (N × H) |
| 88. D4×C43 | Q16 | semidirect |
| 113. C22×C43 | C2×Q16 | semidirect |
| 120. C4×C43 | C2×Q16 | semidirect |
| 142. C43 | D4×Q16 | semidirect |
| 224. D4 | #10621885 | direct (N × H) |
| 244. C22 | C2×#10621885 | semidirect |
| 254. C4 | C2×#10621885 | semidirect |