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. #13133285 | C4 | semidirect |
| 11. C8×#6157 | C4 | semidirect |
| 15. #13133149 | C4 | semidirect |
| 16. #13133148 | C4 | semidirect |
| 17. #106×C53 | C4 | semidirect |
| 57. C8×C53 | C42 | semidirect |
| 58. #88322 | C42 | semidirect |
| 66. #6157 | #106 | direct (N × H) |
| 84. C53 | C4×#106 | semidirect |
| 94. #106 | #6157 | direct (N × H) |
| 137. C8 | C4×#6157 | semidirect |