Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| isoclinism | isoclinic class of Dic94 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C29×C4 |
| direct product | C2×C42×C22⋊D47 |
| Fitting | C23×C42×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×C42×D4 |
5694 conjugacy classes of subgroups.
3104 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 327759);