Finite Group DatabasebetaFinite Group Databasebeta| order | 1632 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C8 · Schur multiplier (H2) = C1 |
| direct product | C3×#10587469 |
| Fitting | C3×C16×C17 ⋊ C2 |
| Hall | C3×C17 ⋊ M32 |
| Sylow | C17 ⋊ C3×M32 |
52 conjugacy classes of subgroups.
| minimal degree | μ(G) = 36 |
| transitive degree | μt(G) = 816 |
444 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1632, 76);