Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
738 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 173 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×#13063356 | C2 | semidirect |
| 3. #14583055 | C2 | semidirect |
| 4. #14583038 | C2 | semidirect |
| 5. #14582908 | C2 | semidirect |
| 6. #14582863 | C2 | semidirect |
| 7. C23×Q8×C43 | C2 | semidirect |
| 10. C2×#10621885 | C22 | semidirect |
| 11. C2×#10621884 | C22 | semidirect |
| 19. #13063249 | C22 | semidirect |
| 35. C2×Q8×C43 | D4 | semidirect |
| 93. C22×C43 | #137 | semidirect |
| 109. C23×Q8 | D43 | semidirect |
| 116. C43 | #3004 | semidirect |
| 146. C2×Q8 | C22⋊D43 | semidirect |
| 204. C22 | #13063356 | semidirect |