Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#20248979 |
| Fitting | C2×C4×C4⋊C4×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#2601 |
2898 conjugacy classes of subgroups.
1916 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 340224);