Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
340 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 2. #16811031 | C2 | semidirect |
| 3. #16811027 | C2 | semidirect |
| 4. #16811024 | C2 | semidirect |
| 31. C2×C8×C53 | Q8 | semidirect |
| 47. #11719917 | Q8 | semidirect |
| 89. C53 | #3164 | semidirect |
| 114. C2×C8 | Dic106 | semidirect |