Finite Group DatabasebetaFinite Group Databasebeta| order | 1824 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C19 · Schur multiplier (H2) = C22 |
| direct product | Q8×Dic3×C19 |
| Hall | C3×C19 ⋊ C4×Q8 |
| Sylow | C3 ⋊ C4×Q8×C19 |
140 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1824 |
570 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1824, 921);