Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
168 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 35 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. #16810392 | C2 | semidirect |
| 3. C53×#324 | C2 | semidirect |
| 75. #324 | D53 | semidirect |
| 76. C53 | #1345 | semidirect |