Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
152 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 2. #16811550 | C2 | semidirect |
| 3. #16811549 | C2 | semidirect |
| 9. C2×#11719908 | C4 | semidirect |
| 10. C16×D53 | C4 | semidirect |
| 11. C16×D53 | C4 | semidirect |
| 14. C2×C16×C53 | C4 | semidirect |
| 59. C53 | #2158 | semidirect |
| 67. C2×C16 | #6157 | semidirect |