Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
166 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 63 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. C8×Dic106 | C2 | semidirect |
| 3. #16810375 | C2 | semidirect |
| 4. #16810353 | C2 | semidirect |
| 6. #16810345 | C2 | semidirect |
| 53. Dic106 | M16 | semidirect |
| 85. C53 | #1588 | semidirect |