Finite Group DatabasebetaFinite Group Databasebeta| order | 21664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#24925400 |
| Sylow | C677 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10832 |
1372 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21664, 230);