Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
344 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 93 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. #16810676 | C2 | semidirect |
| 3. #16810366 | C2 | semidirect |
| 4. C53×#423 | C2 | semidirect |
| 12. C4⋊#88322 | C22 | semidirect |
| 18. C4⋊C8×C53 | C22 | semidirect |
| 87. #423 | D53 | semidirect |
| 89. C53 | #1545 | semidirect |
| 101. C4⋊C8 | C2×D53 | semidirect |