Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
1408 conjugacy classes of subgroups; only the 549 normal subgroups are shown.
This group has 1408 conjugacy classes of subgroups — too many to draw. Only its 549 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×#13063372 | C2 | semidirect |
| 2. #14583716 | C2 | direct (N × H) |
| 3. C2×#13063358 | C2 | semidirect |
| 4. C2×#13063347 | C2 | semidirect |
| 5. C22×Dic172 | C2 | semidirect |
| 6. C2×#131×C43 | C2 | semidirect |
| 8. #13063372 | C22 | semidirect |
| 13. #13063358 | C22 | semidirect |
| 14. #13063347 | C22 | semidirect |
| 17. C2×Dic172 | C22 | semidirect |
| 21. #131×C43 | C22 | semidirect |
| 79. C2×C43 | #578 | semidirect |
| 87. C2×#131 | D43 | semidirect |
| 88. C43 | C2×#578 | semidirect |
| 103. #131 | C2×D43 | semidirect |
| 161. C2 | #14583716 | direct (N × H) |