Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
146 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 46 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. #16811667 | C2 | semidirect |
| 2. #16811551 | C2 | semidirect |
| 3. #16811538 | C2 | semidirect |
| 4. C16×#6157 | C2 | semidirect |
| 12. #13133160 | C4 | semidirect |
| 13. D848 | C4 | semidirect |
| 15. Q32×C53 | C4 | semidirect |
| 55. C53 | #2178 | semidirect |
| 58. Q32 | #6157 | semidirect |