Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
248 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. Q8⋊#88322 | C2 | semidirect |
| 22. C2×Q8×C53 | C8 | semidirect |
| 83. C53 | #1479 | semidirect |
| 101. C2×Q8 | #88322 | semidirect |