Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | D47×#1799 |
| Fitting | C47×#1799 ⋊ C2 |
| Sylow | C47 ⋊ C2×#1799 |
2066 conjugacy classes of subgroups.
800 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 168959);