| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#20245136 |
| Fitting | C2×C47×#362 ⋊ C2 |
| Sylow | C47 ⋊ C2×#2148 |
1154 conjugacy classes of subgroups.
800 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 322528);