Finite Group DatabasebetaFinite Group Databasebeta| order | 32576 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×#14523266 |
| Fitting | M16×C509 ⋊ C4 |
| Sylow | C509 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4072 |
1310 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32576, 1509);