Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
176 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 71 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. #16810701 | C2 | semidirect |
| 2. #16810374 | C2 | semidirect |
| 3. D4⋊#88322 | C2 | semidirect |
| 4. #16810344 | C2 | semidirect |
| 38. C8×C53 | M16 | semidirect |
| 61. C53 | #1594 | semidirect |
| 97. C8 | #11719917 | semidirect |