Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
116 conjugacy classes of subgroups; only the 32 normal subgroups are shown.
This group has 116 conjugacy classes of subgroups — too many to draw. Only its 32 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 |
|---|---|---|
| 8. #13133151 | C4 | semidirect |
| 10. C2×Q16×C53 | C4 | semidirect |
| 58. C53 | #1348 | semidirect |
| 59. C2×Q16 | #6157 | semidirect |