Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13063331 | C2 | semidirect |
| 3. #14583468 | C2 | semidirect |
| 4. #14583153 | C2 | semidirect |
| 5. #14583136 | C2 | semidirect |
| 6. #14582903 | C2 | semidirect |
| 7. C43×#427 | C2 | semidirect |
| 15. C2×#10621872 | C22 | semidirect |
| 16. C2×C8×D43 | C22 | semidirect |
| 19. #13063300 | C22 | semidirect |
| 21. #13063245 | C22 | semidirect |
| 24. #107×C43 | C22 | semidirect |
| 25. #106×C43 | C22 | semidirect |
| 39. C2×C8×C43 | D4 | semidirect |
| 99. #427 | D43 | semidirect |
| 101. C43 | #3058 | semidirect |
| 117. #107 | C2×D43 | semidirect |
| 118. #106 | C2×D43 | semidirect |
| 139. C2×C8 | D172 | semidirect |