Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
284 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13133216 | C4 | semidirect |
| 10. #13133208 | C4 | semidirect |
| 33. C42×C53 | Q8 | semidirect |
| 45. C4×Dic53 | Q8 | semidirect |
| 94. C53 | #1994 | semidirect |
| 135. C42 | Dic106 | semidirect |