Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
1464 conjugacy classes of subgroups; only the 565 normal subgroups are shown.
This group has 1464 conjugacy classes of subgroups — too many to draw. Only its 565 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. C23×Dic86 | C2 | semidirect |
| 2. C2×#13063355 | C2 | direct (N × H) |
| 3. C22×#10621885 | C2 | semidirect |
| 4. C22×#10621883 | C2 | semidirect |
| 5. C22×#10621877 | C2 | semidirect |
| 10. C22×Dic86 | C22 | semidirect |
| 12. #13063355 | C22 | direct (N × H) |
| 13. C2×#10621885 | C22 | semidirect |
| 14. C2×#10621883 | C22 | semidirect |
| 15. C2×#10621877 | C22 | semidirect |
| 45. C2×Dic86 | C23 | semidirect |
| 46. #10621885 | C23 | semidirect |
| 47. #10621883 | C23 | semidirect |
| 48. #10621877 | C23 | semidirect |
| 76. C22×C43 | #137 | semidirect |
| 87. C2×C43 | C2×#137 | semidirect |
| 95. C43 | C22×#137 | semidirect |
| 165. C22 | #13063355 | direct (N × H) |
| 175. C2 | C2×#13063355 | direct (N × H) |