Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
480 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 480 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. C2×#13063325 | C2 | semidirect |
| 2. #14583189 | C2 | direct (N × H) |
| 3. C2×#13063256 | C2 | semidirect |
| 4. C2×C4⋊(C43⋊C8) | C2 | semidirect |
| 10. #13063325 | C22 | semidirect |
| 13. #13063256 | C22 | semidirect |
| 14. C4⋊(C43⋊C8) | C22 | semidirect |
| 26. C2×D4×C43 | Q8 | semidirect |
| 54. D4×C43 | C2×Q8 | semidirect |
| 87. C2×C43 | #476 | semidirect |
| 97. C43 | C2×#476 | semidirect |
| 119. C2×D4 | Dic86 | semidirect |
| 146. D4 | C2×Dic86 | semidirect |
| 177. C2 | #14583189 | direct (N × H) |