Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
316 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 77 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. #16810587 | C2 | semidirect |
| 3. #16810348 | C2 | semidirect |
| 4. #16810346 | C2 | semidirect |
| 5. C53×#407 | C2 | semidirect |
| 65. C22×D53 | M16 | semidirect |
| 84. C2×Dic53 | M16 | semidirect |
| 125. #407 | D53 | semidirect |
| 128. C53 | #1465 | semidirect |