Finite Group DatabasebetaFinite Group Databasebeta| order | 1824 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C1 |
| direct product | C3×#10597285 |
| Fitting | C3×Q16×C19 ⋊ C2 |
| Hall | C3×C19 ⋊ SD32 |
| Sylow | C19 ⋊ C3×SD32 |
52 conjugacy classes of subgroups.
| minimal degree | μ(G) = 38 |
| transitive degree | μt(G) = 912 |
222 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1824, 167);