Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
324 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 9. #13133141 | C4 | semidirect |
| 14. C4×Q8×C53 | C4 | semidirect |
| 44. Q8×C53 | C42 | semidirect |
| 87. C53 | #1763 | semidirect |
| 91. C4×Q8 | Dic53 | semidirect |
| 126. Q8 | C4×Dic53 | semidirect |