Finite Group DatabasebetaFinite Group Databasebeta| order | 1656 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C2 |
| direct product | C3×#10587789 |
| Fitting | C22×C32×C23 ⋊ C2 |
| Hall | C32×C23 ⋊ D4 |
| Sylow | C23 ⋊ C3×#67 |
| Sylow | C32 ⋊ C22⋊D23 |
74 conjugacy classes of subgroups.
| transitive degree | μt(G) = 276 |
423 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1656, 94);