Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 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. #16811180 | C2 | semidirect |
| 2. #16810995 | C2 | semidirect |
| 3. #16810969 | C2 | semidirect |
| 4. #16810820 | C2 | semidirect |
| 5. #16810774 | C2 | semidirect |
| 6. #16810676 | C2 | semidirect |
| 8. C2×#11719923 | C22 | semidirect |
| 9. #13133217 | C22 | semidirect |
| 10. #13133217 | C22 | semidirect |
| 15. C4×Dic106 | C22 | semidirect |
| 17. C4⋊#88322 | C22 | semidirect |
| 18. #13133138 | C22 | semidirect |
| 20. C4×#88322 | C22 | semidirect |
| 71. C2×C4×C53 | SD16 | semidirect |
| 112. C53 | #3208 | semidirect |
| 180. C2×C4 | #11719923 | semidirect |