Finite Group DatabasebetaFinite Group Databasebeta| order | 21568 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic337 |
| Sylow | C337 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10784 |
3400 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21568, 500);