| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C2×C4 |
| direct product | M64×Dic47 |
| Sylow | C47 ⋊ C4×M64 |
250 conjugacy classes of subgroups.
2000 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 89743);