Finite Group DatabasebetaFinite Group Databasebeta| order | 1008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | D3×Dic42 |
| Hall | C32×C7 ⋊ C2×Q8 |
| Sylow | C32 ⋊ C2×Dic14 |
| Sylow | C7 ⋊ D3×Dic6 |
164 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 58 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 336 |
135 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1008, 774);