Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
332 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 11. #13133217 | C4 | semidirect |
| 13. #13133215 | C4 | semidirect |
| 16. C4⋊Q8×C53 | C4 | semidirect |
| 63. C4×C53 | #103 | semidirect |
| 66. Dic53 | #103 | semidirect |
| 78. C53 | #1956 | semidirect |
| 84. C4⋊Q8 | #6157 | semidirect |
| 140. C4 | #13133280 | semidirect |