Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
596 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×D344 | C2 | semidirect |
| 2. C2×#13063299 | C2 | semidirect |
| 3. #14583152 | C2 | direct (N × H) |
| 4. C2×#13063257 | C2 | semidirect |
| 5. C2×#13063247 | C2 | semidirect |
| 6. C22×M16×C43 | C2 | semidirect |
| 10. C2×D344 | C22 | semidirect |
| 12. #13063299 | C22 | semidirect |
| 15. #13063257 | C22 | semidirect |
| 16. #13063247 | C22 | semidirect |
| 19. C2×M16×C43 | C22 | semidirect |
| 39. C2×C8×C43 | D4 | semidirect |
| 70. C8×C43 | C2×D4 | semidirect |
| 88. C2×C43 | #469 | semidirect |
| 93. C22×M16 | D43 | semidirect |
| 98. C43 | C2×#469 | semidirect |
| 105. C2×M16 | C2×D43 | semidirect |
| 132. C2×C8 | C22⋊D43 | semidirect |
| 162. C8 | C2×C22⋊D43 | semidirect |
| 180. C2 | #14583152 | direct (N × H) |