Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | C2×#324×D47 |
| Fitting | C2×C47×#324 ⋊ C2 |
| Sylow | C47 ⋊ C22×#324 |
1806 conjugacy classes of subgroups.
1100 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 135355);