Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
308 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 14. Q8×Dic53 | C4 | semidirect |
| 16. C4×Dic106 | C4 | semidirect |
| 18. #13133182 | C4 | semidirect |
| 23. C4×Q8×C53 | C4 | semidirect |
| 64. Q8×C53 | C4⋊C4 | semidirect |
| 90. Dic106 | C4⋊C4 | semidirect |
| 103. C4×C53 | #103 | semidirect |
| 109. Dic53 | #103 | semidirect |
| 125. C53 | #1803 | semidirect |
| 133. C4×Q8 | #6157 | semidirect |
| 185. Q8 | C4⋊#6157 | semidirect |
| 229. C4 | #13133280 | semidirect |