Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13063347 | C2 | semidirect |
| 2. C22×D344 | C2 | semidirect |
| 3. #14583337 | C2 | direct (N × H) |
| 4. C2×#13063270 | C2 | semidirect |
| 5. C2×D688 | C2 | semidirect |
| 6. C2×M32×C43 | C2 | semidirect |
| 10. #13063347 | C22 | semidirect |
| 11. C2×Dic172 | C22 | semidirect |
| 16. C2×D344 | C22 | semidirect |
| 17. C2×D344 | C22 | semidirect |
| 18. #13063270 | C22 | semidirect |
| 19. D688 | C22 | semidirect |
| 21. M32×C43 | C22 | semidirect |
| 22. C2×C16×C43 | C22 | semidirect |
| 40. Dic172 | C23 | semidirect |
| 45. D344 | C23 | semidirect |
| 47. C16×C43 | C23 | semidirect |
| 84. C2×C43 | #509 | semidirect |
| 93. C2×M32 | D43 | semidirect |
| 94. C43 | C2×#509 | semidirect |
| 109. M32 | C2×D43 | semidirect |
| 110. C2×C16 | C2×D43 | semidirect |
| 135. C16 | C22×D43 | semidirect |
| 173. C2 | #14583337 | direct (N × H) |