Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
332 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 157 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 | direct (N × H) |
| 14. C4×Q8×C53 | C4 | semidirect |
| 44. Q8×C53 | C42 | semidirect |
| 70. C4×C53 | #103 | semidirect |
| 86. C53 | C4×#103 | semidirect |
| 90. C4×Q8 | Dic53 | semidirect |
| 125. Q8 | C4×Dic53 | semidirect |
| 152. C4 | #13133141 | direct (N × H) |