Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
280 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 10. #13133286 | C4 | semidirect |
| 11. C8×#6157 | C4 | semidirect |
| 15. #13133151 | C4 | semidirect |
| 16. #13133150 | C4 | semidirect |
| 17. #107×C53 | C4 | semidirect |
| 59. C8×C53 | C42 | semidirect |
| 60. #88322 | C42 | semidirect |
| 70. #6157 | #107 | direct (N × H) |
| 90. C53 | C4×#107 | semidirect |
| 100. #107 | #6157 | direct (N × H) |
| 145. C8 | C4×#6157 | semidirect |