Finite Group DatabasebetaFinite Group Databasebeta| order | 1824 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2 |
| direct product | C3×#10597262 |
| Fitting | C3×C42×C19 ⋊ C2 |
| Hall | C3×C19 ⋊ #104 |
| Sylow | C19 ⋊ C3×#104 |
88 conjugacy classes of subgroups.
| transitive degree | μt(G) = 456 |
474 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1824, 144);