Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
520 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 137 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×#13063299 | C2 | semidirect |
| 2. #14583213 | C2 | semidirect |
| 3. #14583135 | C2 | semidirect |
| 4. #14583035 | C2 | semidirect |
| 5. C2×C22⋊C8×C43 | C2 | semidirect |
| 6. C22×D172 | C22 | semidirect |
| 8. C2×D344 | C22 | semidirect |
| 12. #13063299 | C22 | semidirect |
| 13. C2×C4⋊Dic43 | C22 | semidirect |
| 15. #13063259 | C22 | semidirect |
| 16. #13063247 | C22 | semidirect |
| 18. C22×C8×C43 | C22 | semidirect |
| 19. C22⋊C8×C43 | C22 | semidirect |
| 43. C23×C43 | D8 | semidirect |
| 91. C2×C22⋊C8 | D43 | semidirect |
| 92. C43 | #3186 | semidirect |
| 97. C22×C8 | C2×D43 | semidirect |
| 106. C22⋊C8 | C2×D43 | semidirect |
| 134. C23 | D344 | semidirect |