Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
572 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 153 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×#13063347 | C2 | semidirect |
| 2. C2×#13063345 | C2 | semidirect |
| 3. #14583445 | C2 | semidirect |
| 4. #14583284 | C2 | semidirect |
| 5. #14583282 | C2 | semidirect |
| 6. #14583280 | C2 | semidirect |
| 7. #14583277 | C2 | semidirect |
| 8. #14583274 | C2 | semidirect |
| 9. #14583270 | C2 | semidirect |
| 10. C2×C8×Dic43 | C2 | semidirect |
| 11. C2×#135×C43 | C2 | semidirect |
| 58. C2×C8×C43 | D4 | semidirect |
| 71. C2×C43⋊C8 | D4 | semidirect |
| 119. Dic43 | #135 | semidirect |
| 128. C2×#135 | D43 | semidirect |
| 137. C43 | #3147 | semidirect |
| 194. C2×C8 | C22⋊D43 | semidirect |