Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
492 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 135 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×Q16×D43 | C2 | semidirect |
| 4. #14583158 | C2 | semidirect |
| 5. #14583157 | C2 | semidirect |
| 6. #14583156 | C2 | semidirect |
| 7. #14583155 | C2 | semidirect |
| 8. #14583154 | C2 | semidirect |
| 9. #106×D43 | C2 | semidirect |
| 10. #103×D43 | C2 | semidirect |
| 11. C43×#470 | C2 | semidirect |
| 14. C2×Dic172 | C22 | semidirect |
| 15. C2×#10621885 | C22 | semidirect |
| 31. #13063257 | C22 | semidirect |
| 32. #13063256 | C22 | semidirect |
| 33. #13063250 | C22 | semidirect |
| 34. #13063249 | C22 | semidirect |
| 35. #13063248 | C22 | semidirect |
| 36. C2×Q16×C43 | C22 | semidirect |
| 39. #106×C43 | C22 | semidirect |
| 40. #103×C43 | C22 | semidirect |
| 136. D43 | #470 | direct (N × H) |
| 145. #470 | D43 | direct (N × H) |
| 148. C43 | C2×#470 | semidirect |
| 154. C2×Q16 | C2×D43 | semidirect |
| 173. #106 | C2×D43 | semidirect |
| 177. #103 | C2×D43 | semidirect |