Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#365×D47 |
| Fitting | C2×C47×#365 ⋊ C2 |
| Sylow | C47 ⋊ C22×#365 |
702 conjugacy classes of subgroups.
800 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 322573);