Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×Q16×D43 | C2 | semidirect |
| 3. #14583277 | C2 | semidirect |
| 4. #14583140 | C2 | semidirect |
| 5. #14583137 | C2 | semidirect |
| 6. #14583107 | C2 | semidirect |
| 7. #14583055 | C2 | semidirect |
| 8. #14583053 | C2 | semidirect |
| 9. Q16×Dic43 | C2 | semidirect |
| 11. C22×Q16×C43 | C2 | semidirect |
| 57. Q16×C43 | D4 | semidirect |
| 94. C22⋊D43 | Q16 | direct (N × H) |
| 112. C22×C43 | C2×Q16 | semidirect |
| 116. C2×D43 | C2×Q16 | semidirect |
| 126. Dic43 | C2×Q16 | semidirect |
| 134. C22×Q16 | D43 | semidirect |
| 144. C43 | D4×Q16 | semidirect |
| 193. Q16 | C22⋊D43 | direct (N × H) |
| 248. C22 | Q16×D43 | semidirect |