Finite Group DatabasebetaFinite Group Databasebeta| order | 1824 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#11744827 |
| Hall | C3×C19 ⋊ C2×Q16 |
| Sylow | C19 ⋊ C2×#216 |
| Sylow | C3 ⋊ C2×#64528 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1824 |
186 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1824, 513);